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Elliptic partial differential equations with almost-real coefficients / / Ariel Barton
| Elliptic partial differential equations with almost-real coefficients / / Ariel Barton |
| Autore | Barton Ariel <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Elliptic
Differential equations, Partial |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9875-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480640103321 |
Barton Ariel <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elliptic partial differential equations with almost-real coefficients / / Ariel Barton
| Elliptic partial differential equations with almost-real coefficients / / Ariel Barton |
| Autore | Barton Ariel <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Elliptic
Differential equations, Partial |
| ISBN | 0-8218-9875-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910796036803321 |
|
Barton Ariel <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elliptic partial differential equations with almost-real coefficients / / Ariel Barton
| Elliptic partial differential equations with almost-real coefficients / / Ariel Barton |
| Autore | Barton Ariel <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (106 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Differential equations, Elliptic
Differential equations, Partial |
| ISBN | 0-8218-9875-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910829159903321 |
|
Barton Ariel <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Layer potentials and boundary-value problems for second order elliptic operators with data in Besov spaces / / Ariel Barton, Svitlana Mayboroda
| Layer potentials and boundary-value problems for second order elliptic operators with data in Besov spaces / / Ariel Barton, Svitlana Mayboroda |
| Autore | Barton Ariel <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
| Descrizione fisica | 1 online resource (122 pages) : illustrations |
| Disciplina | 515/.35 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Boundary value problems
Elliptic operators Besov spaces |
| Soggetto genere / forma | Electronic books. |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480923003321 |
|
Barton Ariel <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Layer potentials and boundary-value problems for second order elliptic operators with data in Besov spaces / / Ariel Barton, Svitlana Mayboroda
| Layer potentials and boundary-value problems for second order elliptic operators with data in Besov spaces / / Ariel Barton, Svitlana Mayboroda |
| Autore | Barton Ariel <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
| Descrizione fisica | 1 online resource (122 pages) : illustrations |
| Disciplina | 515/.35 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Boundary value problems
Elliptic operators Besov spaces |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910788446303321 |
|
Barton Ariel <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Layer potentials and boundary-value problems for second order elliptic operators with data in Besov spaces / / Ariel Barton, Svitlana Mayboroda
| Layer potentials and boundary-value problems for second order elliptic operators with data in Besov spaces / / Ariel Barton, Svitlana Mayboroda |
| Autore | Barton Ariel <1982-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2016] |
| Descrizione fisica | 1 online resource (122 pages) : illustrations |
| Disciplina | 515/.35 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Boundary value problems
Elliptic operators Besov spaces |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910818741403321 |
|
Barton Ariel <1982->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||