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Title:          The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications
Subject:        Stochastics and Partial Differential Equations: Analysis and Computations, https://doi.org/10.1007/s40072-021-00227-5
Keywords:       Hyperbolic Anderson model; Wiener chaos expansion; Malliavin calculus; Second-order Poincaré inequality; Quantitative central limit theorem; Riesz kernel; Dalang’s condition
Author:         Raluca M. Balan 
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Jhove (Rel. 1.22.1, 2019-04-17)
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     Item: 
      Title: The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications
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      Children: 
       Item: 
        Title: Abstract
        Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@ed9d034
       Item: 
        Title: 1 Introduction
        Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@6121c9d6
        Children: 
         Item: 
          Title: 1.1 Gaussian fluctuation of spatial averages
          Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@87f383f
         Item: 
          Title: 1.2 Absolute continuity of the law of the solution to Eq. (1.1)
          Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@4eb7f003
       Item: 
        Title: 2 Preliminary results
        Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@eafc191
        Children: 
         Item: 
          Title: 2.1 Basic Malliavin calculus
          Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@612fc6eb
         Item: 
          Title: 2.2 Inequalities
          Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1060b431
       Item: 
        Title: 3 Lp estimates for Malliavin derivatives
        Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@612679d6
        Children: 
         Item: 
          Title: 3.1 Step 1: Preliminaries
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         Item: 
          Title: 3.2 Step 2: Reduction to white noise in time
          Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@e720b71
          Children: 
           Item: 
            Title: 3.2.1 Estimation of "026B30D to1.5. ImathfrakXj-1(f(j)t,x,j(r,z;) )to. "026B30D to1.5.22 when d=1
            Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@1b26f7b2
           Item: 
            Title: 3.2.2 Estimation of "026B30D to1.5. ImathfrakXj-1(f(j)t,x,j(r,z;) )to. "026B30D to1.5.22 when d=2
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         Item: 
          Title: 3.3 Step 3: Proof of (1.11)
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         Item: 
          Title: 3.4 Step 4: Existence of a measurable version
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         Item: 
          Title: 3.5 Step 5: Proof of u(t,x)inmathbbDinfty
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         Item: 
          Title: 3.6 Consequences of Theorem 1.3
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       Item: 
        Title: 4 Gaussian fluctuation: Proof of Theorem 1.4
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        Children: 
         Item: 
          Title: 4.1 Limiting covariance
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          Children: 
           Item: 
            Title: 4.1.1 Proof of part (1) in Proposition 4.1
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           Item: 
            Title: 4.1.2 Proof of part (2) in Proposition 4.1
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           Item: 
            Title: 4.1.3 Proof of part (3) in Proposition 4.1
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         Item: 
          Title: 4.2 Quantitative central limit theorems (QCLT) and f.d.d. convergence
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          Children: 
           Item: 
            Title: 4.2.1 Part (1)
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           Item: 
            Title: 4.2.2 Proofs in parts (2) and (3)
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         Item: 
          Title: 4.3 Tightness
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       Item: 
        Title: 5 Proof of Theorem 1.10
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       Item: 
        Title: Acknowledgements
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       Item: 
        Title: 6 Appendix
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        Children: 
         Item: 
          Title: A.1 Auxiliary Results
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         Item: 
          Title: A.2 Proof of Proposition 1.9
          Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@3ecd23d9
       Item: 
        Title: References
        Destination: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject@569cfc36
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    Title: The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications
    Author: Raluca M. Balan 
    Subject: Stochastics and Partial Differential Equations: Analysis and Computations, https://doi.org/10.1007/s40072-021-00227-5
    Keywords: Hyperbolic Anderson model; Wiener chaos expansion; Malliavin calculus; Second-order Poincaré inequality; Quantitative central limit theorem; Riesz kernel; Dalang’s condition
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                           <pdfaProperty:name>CrossmarkMajorVersionDate</pdfaProperty:name>
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                           <pdfaProperty:description>Mirrors crossmark:CrossmarkDomainExclusive</pdfaProperty:description>
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                           <pdfaProperty:description>Mirrors crossmark:DOI</pdfaProperty:description>
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                           <pdfaProperty:description>Date when document was last modified</pdfaProperty:description>
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                  <pdfaSchema:schema>Crossmark Schema</pdfaSchema:schema>
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                           <pdfaProperty:description>Usual same as prism:doi</pdfaProperty:description>
                           <pdfaProperty:name>DOI</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
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                        <rdf:li rdf:parseType="Resource">
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                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
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                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
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                           <pdfaProperty:description>CrossMarkDomains</pdfaProperty:description>
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                           <pdfaProperty:category>external</pdfaProperty:category>
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                           <pdfaProperty:name>url</pdfaProperty:name>
                           <pdfaProperty:valueType>URI</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>The Digital Object Identifier for the article. The DOI may also be used as the dc:identifier. If used as a dc:identifier, the URI form should be captured, and the bare identifier should also be captured using prism:doi. If an alternate unique identifier is used as the required dc:identifier, then the DOI should be specified as a bare identifier within prism:doi only. If the URL associated with a DOI is to be specified, then prism:url may be used in conjunction with prism:doi in order to provide the service endpoint (i.e. the URL). </pdfaProperty:description>
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                        <rdf:li rdf:parseType="Resource">
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                           <pdfaProperty:description>ISSN for an electronic version of the issue in which the resource occurs. Permits publishers to include a second ISSN, identifying an electronic version of the issue in which the resource occurs (therefore e(lectronic)Issn. If used, prism:eIssn MUST contain the ISSN of the electronic version.</pdfaProperty:description>
                           <pdfaProperty:name>issn</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>internal</pdfaProperty:category>
                           <pdfaProperty:description>Volume number</pdfaProperty:description>
                           <pdfaProperty:name>volume</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>internal</pdfaProperty:category>
                           <pdfaProperty:description>Issue number</pdfaProperty:description>
                           <pdfaProperty:name>number</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>internal</pdfaProperty:category>
                           <pdfaProperty:description>Starting page</pdfaProperty:description>
                           <pdfaProperty:name>startingPage</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>internal</pdfaProperty:category>
                           <pdfaProperty:description>Ending page</pdfaProperty:description>
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                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>The aggregation type specifies the unit of aggregation for a content collection. Comment PRISM recommends that the PRISM Aggregation Type Controlled Vocabulary be used to provide values for this element. Note: PRISM recommends against the use of the #other value currently allowed in this controlled vocabulary. In lieu of using #other please reach out to the PRISM group at info@prismstandard.org to request addition of your term to the Aggregation Type Controlled Vocabulary. </pdfaProperty:description>
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                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
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                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>Title of the magazine, or other publication, in which a resource was/will be published. Typically this will be used to provide the name of the magazine an article appeared in as metadata for the article, along with information such as the article title, the publisher, volume, number, and cover date. Note: Publication name can be used to differentiate between a print magazine and the online version if the names are different such as “magazine” and “magazine.com.”</pdfaProperty:description>
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                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
                        </rdf:li>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
                           <pdfaProperty:description>Copyright</pdfaProperty:description>
                           <pdfaProperty:name>copyright</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
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                  <pdfaSchema:namespaceURI>http://ns.adobe.com/pdf/1.3/</pdfaSchema:namespaceURI>
                  <pdfaSchema:prefix>pdf</pdfaSchema:prefix>
                  <pdfaSchema:schema>Adobe PDF Schema</pdfaSchema:schema>
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                           <pdfaProperty:category>internal</pdfaProperty:category>
                           <pdfaProperty:description>A name object indicating whether the document has been modified to include trapping information</pdfaProperty:description>
                           <pdfaProperty:name>Trapped</pdfaProperty:name>
                           <pdfaProperty:valueType>Text</pdfaProperty:valueType>
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                  <pdfaSchema:schema>XMP Media Management Schema</pdfaSchema:schema>
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                        <rdf:li rdf:parseType="Resource">
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                        <rdf:li rdf:parseType="Resource">
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                           <pdfaProperty:description>Part of PDF/A standard</pdfaProperty:description>
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                           <pdfaProperty:description>Amendment of PDF/A standard</pdfaProperty:description>
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                     <rdf:Seq>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>internal</pdfaProperty:category>
                           <pdfaProperty:description>XMP08 Spec: An ordered array of plate names that are needed to print the document (including any in contained documents).</pdfaProperty:description>
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                           <pdfaProperty:valueType>Seq Text</pdfaProperty:valueType>
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                  <pdfaSchema:schema>NISO</pdfaSchema:schema>
                  <pdfaSchema:property>
                     <rdf:Seq>
                        <rdf:li rdf:parseType="Resource">
                           <pdfaProperty:category>external</pdfaProperty:category>
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