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Autore: |
Barton Ariel <1982->
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Titolo: |
Elliptic partial differential equations with almost-real coefficients / / Ariel Barton
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Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
©2012 | |
Descrizione fisica: | 1 online resource (106 p.) |
Disciplina: | 515/.3533 |
Soggetto topico: | Differential equations, Elliptic |
Differential equations, Partial | |
Note generali: | "May 2013 , Volume 223, Number 1051 (fifth of 5 numbers)." |
Nota di bibliografia: | Includes bibliographical references. |
Nota di contenuto: | ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. History""; ""Chapter 2. Definitions and the Main Theorem""; ""2.1. Geometric definitions""; ""2.2. Definitions of function spaces""; ""2.3. Layer potentials""; ""2.4. The main theorem""; ""2.5. Additional definitions""; ""Chapter 3. Useful Theorems""; ""3.1. Nontangential maximal functions""; ""3.2. Bounds on solutions""; ""3.3. Existence results""; ""3.4. Preliminary uniqueness results""; ""3.5. The Neumann and regularity problems in unusual domains""; ""Chapter 4. The Fundamental Solution"" |
""4.1. A fundamental solution exists""""4.2. Uniqueness of the fundamental solution""; ""4.3. Symmetry of the fundamental solution""; ""4.4. Conjugates to the fundamental solution""; ""4.5. Calderón-Zygmund kernels""; ""4.6. Analyticity""; ""Chapter 5. Properties of Layer Potentials""; ""5.1. Limits of layer potentials and the adjoint formulas""; ""Chapter 6. Boundedness of Layer Potentials""; ""6.1. Proof for a small Lipschitz constant: preliminary remarks""; ""6.2. A B for the TB theorem""; ""6.3. Weak boundedness of operators""; ""6.4. The adjoint inequalities"" | |
""6.5. Proof for a small Lipschitz constant: final remarks""""6.6. Buildup to arbitrary special Lipschitz domains""; ""6.7. Patching: special Lipschitz domains to bounded Lipschitz domains""; ""Chapter 7. Invertibility of Layer Potentials and Other Properties""; ""7.1. Nontangential maximal functions of layer potentials""; ""7.2. Jump relations""; ""7.3. Layer potentials on Hardy spaces""; ""7.4. Invertibility of layer potentials""; ""Chapter 8. Uniqueness of Solutions""; ""8.1. Counterexamples to uniqueness""; ""8.2. Uniqueness results""; ""Chapter 9. Boundary Data in Hardy spaces"" | |
""9.1. Solutions with boundary data in Hardy spaces""""9.2. Invertibility of layer potentials""; ""Chapter 10. Concluding Remarks""; ""10.1. Converses""; ""Bibliography"" | |
Titolo autorizzato: | Elliptic partial differential equations with almost-real coefficients ![]() |
ISBN: | 0-8218-9875-2 |
Formato: | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910829159903321 |
Lo trovi qui: | Univ. Federico II |
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