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On first and second order planar elliptic equations with degeneracies / / Abdelhamid Meziani
| On first and second order planar elliptic equations with degeneracies / / Abdelhamid Meziani |
| Autore | Meziani Abdelhamid <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (77 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Degenerate differential equations
Differential equations, Elliptic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-8750-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Preliminaries""; ""Chapter 2. Basic Solutions""; ""2.1. Properties of basic solutions""; ""2.2. The spectral equation and Spec(L0)""; ""2.3. Existence of basic solutions""; ""2.4. Properties of the fundamental matrix of (E,)""; ""2.5. The system of equations for the adjoint operator L*""; ""2.6. Continuation of a simple spectral value""; ""2.7. Continuation of a double spectral value""; ""2.8. Purely imaginary spectral value""; ""2.9. Main result about basic solutions""; ""Chapter 3. Example""
""Chapter 4. Asymptotic behavior of the basic solutions of L""""4.1. Estimate of ""; ""4.2. First estimate of and ""; ""4.3. End of the proof of Theorem 4.1""; ""Chapter 5. The kernels""; ""5.1. Two lemmas""; ""5.2. Proof of Theorem 5.1""; ""5.3. Modified kernels""; ""Chapter 6. The homogeneous equation L u=0""; ""6.1. Representation of solutions in a cylinder""; ""6.2. Cauchy integral formula""; ""6.3. Consequences""; ""Chapter 7. The nonhomogeneous equation L u=F""; ""7.1. Generalized Cauchy Integral Formula""; ""7.2. The integral operator T""; ""7.3. Compactness of the operator T"" ""Chapter 8. The semilinear equation""""Chapter 9. The second order equation: Reduction""; ""Chapter 10. The homogeneous equation Pu=0""; ""10.1. Some properties""; ""10.2. Main result about the homogeneous equation Pu=0""; ""10.3. A maximum principle""; ""Chapter 11. The nonhomogeneous equation Pu=F""; ""Chapter 12. Normalization of a Class of Second Order Equations with a Singularity ""; ""Bibliography"" |
| Record Nr. | UNINA-9910480879503321 |
Meziani Abdelhamid <1957->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On first and second order planar elliptic equations with degeneracies / / Abdelhamid Meziani
| On first and second order planar elliptic equations with degeneracies / / Abdelhamid Meziani |
| Autore | Meziani Abdelhamid <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (77 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Degenerate differential equations
Differential equations, Elliptic |
| ISBN | 0-8218-8750-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Preliminaries""; ""Chapter 2. Basic Solutions""; ""2.1. Properties of basic solutions""; ""2.2. The spectral equation and Spec(L0)""; ""2.3. Existence of basic solutions""; ""2.4. Properties of the fundamental matrix of (E,)""; ""2.5. The system of equations for the adjoint operator L*""; ""2.6. Continuation of a simple spectral value""; ""2.7. Continuation of a double spectral value""; ""2.8. Purely imaginary spectral value""; ""2.9. Main result about basic solutions""; ""Chapter 3. Example""
""Chapter 4. Asymptotic behavior of the basic solutions of L""""4.1. Estimate of ""; ""4.2. First estimate of and ""; ""4.3. End of the proof of Theorem 4.1""; ""Chapter 5. The kernels""; ""5.1. Two lemmas""; ""5.2. Proof of Theorem 5.1""; ""5.3. Modified kernels""; ""Chapter 6. The homogeneous equation L u=0""; ""6.1. Representation of solutions in a cylinder""; ""6.2. Cauchy integral formula""; ""6.3. Consequences""; ""Chapter 7. The nonhomogeneous equation L u=F""; ""7.1. Generalized Cauchy Integral Formula""; ""7.2. The integral operator T""; ""7.3. Compactness of the operator T"" ""Chapter 8. The semilinear equation""""Chapter 9. The second order equation: Reduction""; ""Chapter 10. The homogeneous equation Pu=0""; ""10.1. Some properties""; ""10.2. Main result about the homogeneous equation Pu=0""; ""10.3. A maximum principle""; ""Chapter 11. The nonhomogeneous equation Pu=F""; ""Chapter 12. Normalization of a Class of Second Order Equations with a Singularity ""; ""Bibliography"" |
| Record Nr. | UNINA-9910788617703321 |
|
Meziani Abdelhamid <1957->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
On first and second order planar elliptic equations with degeneracies / / Abdelhamid Meziani
| On first and second order planar elliptic equations with degeneracies / / Abdelhamid Meziani |
| Autore | Meziani Abdelhamid <1957-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (77 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Degenerate differential equations
Differential equations, Elliptic |
| ISBN | 0-8218-8750-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Preliminaries""; ""Chapter 2. Basic Solutions""; ""2.1. Properties of basic solutions""; ""2.2. The spectral equation and Spec(L0)""; ""2.3. Existence of basic solutions""; ""2.4. Properties of the fundamental matrix of (E,)""; ""2.5. The system of equations for the adjoint operator L*""; ""2.6. Continuation of a simple spectral value""; ""2.7. Continuation of a double spectral value""; ""2.8. Purely imaginary spectral value""; ""2.9. Main result about basic solutions""; ""Chapter 3. Example""
""Chapter 4. Asymptotic behavior of the basic solutions of L""""4.1. Estimate of ""; ""4.2. First estimate of and ""; ""4.3. End of the proof of Theorem 4.1""; ""Chapter 5. The kernels""; ""5.1. Two lemmas""; ""5.2. Proof of Theorem 5.1""; ""5.3. Modified kernels""; ""Chapter 6. The homogeneous equation L u=0""; ""6.1. Representation of solutions in a cylinder""; ""6.2. Cauchy integral formula""; ""6.3. Consequences""; ""Chapter 7. The nonhomogeneous equation L u=F""; ""7.1. Generalized Cauchy Integral Formula""; ""7.2. The integral operator T""; ""7.3. Compactness of the operator T"" ""Chapter 8. The semilinear equation""""Chapter 9. The second order equation: Reduction""; ""Chapter 10. The homogeneous equation Pu=0""; ""10.1. Some properties""; ""10.2. Main result about the homogeneous equation Pu=0""; ""10.3. A maximum principle""; ""Chapter 11. The nonhomogeneous equation Pu=F""; ""Chapter 12. Normalization of a Class of Second Order Equations with a Singularity ""; ""Bibliography"" |
| Record Nr. | UNINA-9910817273903321 |
|
Meziani Abdelhamid <1957->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||