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function for Schrödinger operators with singular potentials and irregular magnetic fields Destination: yaima109665.title.0:1 Children: Item: Title: 1 Introduction Destination: yaima109665.section.1:2 Item: Title: 2 Main results Destination: yaima109665.section.2:8 Children: Item: Title: 2.1 Main results for the Schrödinger operator −divA∇+V Destination: yaima109665.subsection.1:9 Item: Title: 2.2 Directionality assumptions on the magnetic field Destination: yaima109665.subsection.2:25 Item: Title: 2.3 Main results for the magnetic Schrödinger operator −(∇−ia)2+V Destination: yaima109665.subsection.3:31 Item: Title: 3 The landscape function on unbounded domains Destination: yaima109665.section.3:44 Children: Item: Title: 3.1 Preliminaries Destination: yaima109665.subsection.1:45 Item: Title: 3.2 Construction of the landscape function and the uncertainty principle Destination: yaima109665.subsection.2:55 Item: Title: 4 A priori exponential decay results for −divA∇+V Destination: yaima109665.section.4:63 Item: Title: 5 Comparison to the Fefferman-Phong-Shen maximal function Destination: yaima109665.section.5:72 Item: Title: 6 Applications to the magnetic Schrödinger operator Destination: yaima109665.section.6:76 Children: Item: Title: 6.1 The uncertainty principle for La,V and a priori exponential decay results Destination: yaima109665.subsection.1:77 Item: Title: 6.2 The solutions to Shen’s problems, and other corollaries Destination: yaima109665.subsection.2:82 Item: Title: 6.3 An uncertainty principle for La,V with a good transition region Destination: yaima109665.subsection.3:89 Item: Title: Appendix A Existence of Green’s function as an integral kernel Destination: yaima109665.appendix.1:93 Item: Title: References Destination: yaima109665.section.1:97 Info: Title: Applications of the landscape function for Schrödinger operators with singular potentials and irregular magnetic fields Author: Bruno Poggi Subject: Advances in Mathematics, 445 (2024) 109665. 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Subtype: Link Rect: 70, 83, 435, 89 Annotation: Subtype: Link Rect: 70, 72, 435, 80 Annotation: Subtype: Link Rect: 70, 63, 435, 69 Annotation: Subtype: Link Rect: 70, 53, 358, 61 Page: Label: 54 Sequence: 54 Annotations: Annotation: Subtype: Link Rect: 64, 604, 430, 612 Annotation: Subtype: Link Rect: 64, 595, 101, 603 Annotation: Subtype: Link Rect: 64, 586, 430, 592 Annotation: Subtype: Link Rect: 64, 575, 288, 583 Annotation: Subtype: Link Rect: 64, 567, 430, 573 Annotation: Subtype: Link Rect: 64, 556, 156, 564 Annotation: Subtype: Link Rect: 64, 548, 430, 554 Annotation: Subtype: Link Rect: 64, 538, 325, 544 Annotation: Subtype: Link Rect: 64, 529, 430, 535 Annotation: Subtype: Link Rect: 64, 518, 335, 526 Annotation: Subtype: Link Rect: 64, 509, 430, 515 Annotation: Subtype: Link Rect: 64, 499, 273, 507 Annotation: Subtype: Link Rect: 64, 490, 430, 496 Annotation: Subtype: Link Rect: 64, 480, 175, 488 Annotation: Subtype: Link Rect: 64, 471, 430, 477 Annotation: Subtype: Link 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Rect: 64, 271, 96, 276 Annotation: Subtype: Link Rect: 64, 260, 430, 268 Annotation: Subtype: Link Rect: 64, 250, 122, 258 Annotation: Subtype: Link Rect: 64, 241, 395, 249 Annotation: Subtype: Link Rect: 64, 231, 384, 239 Annotation: Subtype: Link Rect: 64, 223, 430, 229 Annotation: Subtype: Link Rect: 64, 212, 147, 220 Annotation: Subtype: Link Rect: 64, 203, 430, 209 Annotation: Subtype: Link Rect: 64, 193, 345, 201 Annotation: Subtype: Link Rect: 64, 184, 430, 190 Annotation: Subtype: Link Rect: 64, 174, 160, 182 Annotation: Subtype: Link Rect: 64, 165, 430, 171 Annotation: Subtype: Link Rect: 64, 155, 269, 163 Annotation: Subtype: Link Rect: 64, 146, 430, 152 Annotation: Subtype: Link Rect: 64, 136, 275, 142 Annotation: Subtype: Link Rect: 64, 126, 430, 134 Annotation: Subtype: Link Rect: 64, 117, 430, 123 Annotation: Subtype: Link Rect: 64, 107, 387, 115 Annotation: Subtype: Link Rect: 64, 97, 430, 105 Annotation: Subtype: Link Rect: 64, 89, 247, 95 Checksum: febe34ee Type: CRC32 Checksum: 23e023ac1fc60d7c381be05c215c92e9 Type: MD5 Checksum: 3b215273a5b15ce030c63f678ffc006212f77d51 Type: SHA-1 Checksum: 844d4e54d0510d2f185adc563ff675f23ec4e2a58323d0636feb02c831e3464a Type: SHA-256