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[null,"1.","Record Nr.",null,"UNINA9910829159903321"]
[null,null,"Autore",null,"Barton Ariel <1982->"]
[null,null,"Titolo",null,"Elliptic partial differential equations with almost-real coefficients / / Ariel Barton"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2012"]
[{"$nulls":4},"©2012"]
[null,null,"ISBN",null,"0-8218-9875-2"]
[null,null,"Descrizione fisica",null,"1 online resource (106 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 223, Number 1051"]
[null,null,"Disciplina",null,"515/.3533"]
[null,null,"Soggetti",null,"Differential equations, Elliptic"]
[{"$nulls":4},"Differential equations, Partial"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"May 2013 , Volume 223, Number 1051 (fifth of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"4.1. A fundamental solution exists\"\"\"\"4.2. Uniqueness of the fundamental solution\"\"; \"\"4.3. Symmetry of the fundamental solution\"\"; \"\"4.4. Conjugates to the fundamental solution\"\"; \"\"4.5. CalderÃ³n-Zygmund kernels\"\"; \"\"4.6. Analyticity\"\"; \"\"Chapter 5. Properties of Layer Potentials\"\"; \"\"5.1. Limits of layer potentials and the adjoint formulas\"\"; \"\"Chapter 6. Boundedness of Layer Potentials\"\"; \"\"6.1. Proof for a small Lipschitz constant: preliminary remarks\"\"; \"\"6.2. A B for the TB theorem\"\"; \"\"6.3. Weak boundedness of operators\"\"; \"\"6.4. The adjoint inequalities\"\""]
[{"$nulls":4},"\"\"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 "]
[{"$nulls":4},"of layer potentials\"\"; \"\"Chapter 8. Uniqueness of Solutions\"\"; \"\"8.1. Counterexamples to uniqueness\"\"; \"\"8.2. Uniqueness results\"\"; \"\"Chapter 9. Boundary Data in Hardy spaces\"\""]
[{"$nulls":4},"\"\"9.1. Solutions with boundary data in Hardy spaces\"\"\"\"9.2. Invertibility of layer potentials\"\"; \"\"Chapter 10. Concluding Remarks\"\"; \"\"10.1. Converses\"\"; \"\"Bibliography\"\""]