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Record Nr. |
UNINA9910788617703321 |
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Autore |
Meziani Abdelhamid <1957-> |
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Titolo |
On first and second order planar elliptic equations with degeneracies / / Abdelhamid Meziani |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2011 |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (77 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 217, Number 1019 |
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Disciplina |
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Soggetti |
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Degenerate differential equations |
Differential equations, Elliptic |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"May 2012, Volume 217, Number 1019 (first of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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""; |
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