44f0173ce586eb37ae3c2051ea629fc1 ArcRatMec_a2023v247p38.pdf 8f288f107ac545bc8c854ae5190120e74c691b3c ArcRatMec_a2023v247p38.pdf c025ce48f72cb90846b40b06bac295adb5ab774e53547fd775e5b859e47dbd74 ArcRatMec_a2023v247p38.pdf Title: L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type Subject: Archive for Rational Mechanics and Analysis, https://doi.org/10.1007/s00205-023-01852-1 Keywords: Riesz transform; Layer potentials; Second order elliptic equations; Dini mean oscillation; David–Semmes problem; Uniform rectifiability; Rectifiability Author: Alejandro Molero Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Mon May 22 14:21:14 2023 CEST ModDate: Fri Jun 2 10:49:19 2023 CEST Custom Metadata: yes Metadata Stream: yes Tagged: no UserProperties: no Suspects: no Form: AcroForm JavaScript: no Pages: 59 Encrypted: no Page size: 439.37 x 666.142 pts Page rot: 0 File size: 800505 bytes Optimized: yes PDF version: 1.4 name type encoding emb sub uni object ID ------------------------------------ ----------------- ---------------- --- --- --- --------- IJRKNJ+Times-Roman Type 1C MacRoman yes yes no 1836 0 LOOADW+CMSY10 Type 1C WinAnsi yes yes no 1870 0 JBNRCA+Times-Italic Type 1C MacRoman yes yes no 1841 0 LXIWJK+Times-RomanSC Type 1C WinAnsi yes yes no 1849 0 DTSFIB+Times-Bold Type 1C MacRoman yes yes no 1850 0 EIUBIP+MTMI Type 1C Custom yes yes yes 1851 0 CFXMFW+MTSYN Type 1C Custom yes yes yes 1844 0 LMORAG+MSBM7 Type 1C WinAnsi yes yes no 1853 0 MAWLKM+MTEX Type 1C Custom yes yes yes 1854 0 NOKVAX+MSBM10 Type 1C Custom yes yes yes 1866 0 RVECKE+CMSY8 Type 1C WinAnsi yes yes no 611 0 KDNQVP+EUFM10 Type 1C WinAnsi yes yes no 641 0 SPLWDB+MSAM10 Type 1C Custom yes yes no 664 0 RTMGAT+EUFM7 Type 1C WinAnsi yes yes no 904 0 OGAJXL+CMSY7 Type 1C WinAnsi yes yes no 1127 0 HJEFNL+CMSY9 Type 1C WinAnsi yes yes no 1124 0 Jhove (Rel. 1.28.0, 2023-05-18) Date: 2026-02-10 04:15:59 CET RepresentationInformation: ArcRatMec_a2023v247p38.pdf ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16) LastModified: 2026-02-09 16:09:43 CET Size: 800505 Format: PDF Version: 1.4 Status: Well-Formed and valid SignatureMatches: PDF-hul MIMEtype: application/pdf Profile: Linearized PDF PDFMetadata: Objects: 1911 FreeObjects: 1 IncrementalUpdates: 1 DocumentCatalog: PageLayout: SinglePage PageMode: UseOutlines Language: EN Outlines: Item: Title: L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type Destination: Doc-Start Children: Item: Title: Abstract Destination: neworcid.2 Item: Title: 1 Introduction Destination: section.1 Item: Title: 2 Preliminaries and Notation Destination: section.2 Item: Title: 3 Change of Variables and Pointwise Estimates for the Gradient of the Fundamental Solution Destination: section.3 Children: Item: Title: 3.1 Change of variables Destination: subsection.3.1 Item: Title: 3.2 Estimates for the gradient of the fundamental solutions Destination: subsection.3.2 Item: Title: 3.3 The three-step perturbations Destination: subsection.3.3 Item: Title: 4 The Main Lemmas Destination: section.4 Item: Title: 5 The Approximating Measures Destination: section.5 Item: Title: 6 The Proof of Theorem 1.1 Destination: section.6 Item: Title: References Destination: section*.5 Info: Title: L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type Author: Alejandro Molero Subject: Archive for Rational Mechanics and Analysis, https://doi.org/10.1007/s00205-023-01852-1 Keywords: Riesz transform; Layer potentials; Second order elliptic equations; Dini mean oscillation; David Semmes problem; Uniform rectifiability; Rectifiability Creator: Springer Producer: Acrobat Distiller 10.1.8 (Windows) CreationDate: Mon May 22 14:51:14 CEST 2023 ModDate: Fri Jun 02 11:19:19 CEST 2023 ID: 0x194431a9731337beb76a73bae428b080, 0x7b9708118643434f8b7d79482d23b3c7 Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: KDNQVP+EUFM10 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: KDNQVP+EUFM10 Flags: Nonsymbolic FontBBox: -26, -224, 1055, 741 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: RVECKE+CMSY8 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: RVECKE+CMSY8 Flags: Nonsymbolic, Italic FontBBox: -30, -955, 1185, 779 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: HJEFNL+CMSY9 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: HJEFNL+CMSY9 Flags: Nonsymbolic, Italic FontBBox: -30, -958, 1146, 777 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: OGAJXL+CMSY7 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: OGAJXL+CMSY7 Flags: Nonsymbolic, Italic FontBBox: -15, -951, 1252, 782 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: RTMGAT+EUFM7 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: RTMGAT+EUFM7 Flags: Nonsymbolic FontBBox: 0, -250, 1193, 750 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: NOKVAX+MSBM10 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: NOKVAX+MSBM10 Flags: Symbolic FontBBox: 15, 0, 703, 685 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: IJRKNJ+Times-Roman FontSubset: true FirstChar: 0 LastChar: 251 FontDescriptor: FontName: IJRKNJ+Times-Roman Flags: Serif, Nonsymbolic FontBBox: -168, -218, 1000, 898 FontFile3: true Encoding: MacRomanEncoding Font: BaseFont: LOOADW+CMSY10 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: LOOADW+CMSY10 Flags: Nonsymbolic, Italic FontBBox: -29, -960, 1116, 775 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: JBNRCA+Times-Italic FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: JBNRCA+Times-Italic Flags: Serif, Nonsymbolic, Italic FontBBox: -169, -217, 1010, 883 FontFile3: true Encoding: MacRomanEncoding Font: BaseFont: CFXMFW+MTSYN FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: CFXMFW+MTSYN Flags: Symbolic FontBBox: 0, -954, 1043, 900 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: SPLWDB+MSAM10 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: SPLWDB+MSAM10 Flags: Symbolic FontBBox: 7, -463, 1331, 1003 FontFile3: true EncodingDictionary: Differences: true Font: BaseFont: LXIWJK+Times-RomanSC FontSubset: true FirstChar: 0 LastChar: 253 FontDescriptor: FontName: LXIWJK+Times-RomanSC Flags: Serif, Nonsymbolic, SmallCap FontBBox: -168, -218, 994, 898 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: DTSFIB+Times-Bold FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: DTSFIB+Times-Bold Flags: Serif, Nonsymbolic, ForceBold FontBBox: -168, -218, 1000, 935 FontFile3: true Encoding: MacRomanEncoding Font: BaseFont: EIUBIP+MTMI FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: EIUBIP+MTMI Flags: Symbolic, Italic FontBBox: 0, -213, 987, 680 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true Font: BaseFont: LMORAG+MSBM7 FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: LMORAG+MSBM7 Flags: Nonsymbolic FontBBox: 15, 0, 703, 685 FontFile3: true Encoding: WinAnsiEncoding Font: BaseFont: MAWLKM+MTEX FontSubset: true FirstChar: 0 LastChar: 255 FontDescriptor: FontName: MAWLKM+MTEX Flags: Symbolic FontBBox: 55, -2221, 881, 0 FontFile3: true EncodingDictionary: Differences: true ToUnicode: true XMP: 2023-05-22T17:51:14+05:30 Springer 2023-06-02T14:19:19+05:30 2023-06-02T14:19:19+05:30 Acrobat Distiller 10.1.8 (Windows) Riesz transform; Layer potentials; Second order elliptic equations; Dini mean oscillation; David–Semmes problem; Uniform rectifiability; Rectifiability application/pdf https://doi.org/10.1007/s00205-023-01852-1 Springer Berlin Heidelberg Archive for Rational Mechanics and Analysis, https://doi.org/10.1007/s00205-023-01852-1 Riesz transform Layer potentials Second order elliptic equations Dini mean oscillation David–Semmes problem Uniform rectifiability Rectifiability L2-Boundedness of Gradients of Single Layer Potentials for Elliptic Operators with Coefficients of Dini Mean Oscillation-Type Alejandro Molero Mihalis Mourgoglou Carmelo Puliatti Xavier Tolsa 10.1007/s00205-023-01852-1 2010-04-23 true springer.com springerlink.com https://doi.org/10.1007/s00205-023-01852-1 10.1007/s00205-023-01852-1 1432-0673 247 3 1 59 journal Archive for Rational Mechanics and Analysis The Author(s) 2010-04-23 true 10.1007/s00205-023-01852-1 noindex springer.com springerlink.com CVoR uuid:7988c1b8-2345-4a07-8700-017533eb8170 uuid:fca124c3-b550-42e9-9403-526b752d1f50 default 1 converted uuid:6979ccc2-f4e9-4d54-a650-2ef3e12ea1bd converted to PDF/A-2b pdfToolbox 2023-06-02T14:18:11+05:30 converted uuid:7c9106fd-1e57-41f2-b30b-1479b59f7287 converted to PDF/A-2b pdfToolbox 2023-06-02T14:19:19+05:30 2 B Mihalis Mourgoglou http://orcid.org/0000-0002-9634-6713 http://ns.adobe.com/pdfx/1.3/ pdfx Adobe Document Info PDF eXtension Schema external Mirrors crossmark:MajorVersionDate CrossmarkMajorVersionDate Text external Mirrors crossmark:CrossmarkDomainExclusive CrossmarkDomainExclusive Text internal Mirrors crossmark:DOI doi Text external Mirrors crossmark:CrosMarkDomains CrossMarkDomains seq Text internal A name object indicating whether the document has been modified to include trapping information robots Text internal ID of PDF/X standard GTS_PDFXVersion Text internal Conformance level of PDF/X standard GTS_PDFXConformance Text internal Company creating the PDF Company Text internal Date when document was last modified SourceModified Text http://crossref.org/crossmark/1.0/ crossmark Crossmark Schema internal Usual same as prism:doi DOI Text external The date when a publication was publishe. 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