Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains / / by Mikhail Borsuk
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| Autore: |
Borsuk Mikhail
|
| Titolo: |
Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains / / by Mikhail Borsuk
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024 |
| Edizione: | 2nd ed. 2024. |
| Descrizione fisica: | 1 online resource (337 pages) |
| Disciplina: | 516.15 |
| Soggetto topico: | Differential equations |
| Functional analysis | |
| Differential Equations | |
| Functional Analysis | |
| Càlcul diferencial | |
| Seccions còniques | |
| Equacions diferencials el·líptiques | |
| Paràboles | |
| El·lipsi | |
| Equacions en derivades parcials | |
| Soggetto genere / forma: | Llibres electrònics |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | - 1. Preliminaries -- 2. Eigenvalue Problem and Integro-Differential Inequalities -- 3. Best Possible Estimates of Solutions to the Interface Problem for Linear Elliptic Divergence Second Order Equations in a Conical Domain -- 4. Interface Problem for the Laplace Operator with N Different Media -- 5. Interface Problem for Weak Quasi-Linear Elliptic Equations in a Conical Domain -- 6. Interface Problem for Strong Quasi-Linear Elliptic Equations in a Conical Domain -- 7. Best Possible Estimates of Solutions to the Interface Problem for a Quasi-Linear Elliptic Divergence Second Order Equation in a Domain with a Boundary Edge -- 8. Interface Oblique Derivative Problem for Perturbed p(x)-Laplacian Equation in a Bounded n− Dimensional Cone -- 9. Existence of Bounded Weak Solutions. |
| Sommario/riassunto: | The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth Domains (Birkhäuser, 2010), this volume includes two entirely new chapters: one about the oblique derivative problems for the perturbed p(x)-Laplacian equation in a bounded n-dimensional cone, and another about the existence of bounded weak solutions. Researchers and advanced graduate students will appreciate this compact compilation of new material in the field. |
| Titolo autorizzato: | Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains |
| ISBN: | 3-031-64091-8 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910900172303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Frontiers in Mathematics, . 1660-8054