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| Content Provider | Springer Nature Link |
|---|---|
| Author | Planas, Gabriela Miranda, Luís H. Boldrini, José Luiz |
| Copyright Year | 2013 |
| Abstract | This article considers the issues of existence and regularity of solutions to the following doubly nonlinear differential inclusion $$\omega_t+\alpha (\omega_t)-\Delta \omega-\Delta_p{\omega} \ni f$$ where α is a maximal monotone operator in $${\mathbb{R}^2}$$ and Δ p denotes the p-Laplacian with p > 2. The investigation on fractional regularity is based on the Galerkin method combined with a suitable basis for W 1,p , which we exhibit as a preliminary result. This approach also allows the obtaining of estimates in the so-called Nikolskii spaces, since it balances the interplay between the maximal monotone operator with the appearing higher order nonlinear terms. |
| Ending Page | 560 |
| Page Count | 26 |
| Starting Page | 535 |
| File Format | |
| ISSN | 14243199 |
| e-ISSN | 14243202 |
| Journal | Journal of Evolution Equations |
| Issue Number | 3 |
| Volume Number | 13 |
| Language | English |
| Publisher | Springer Basel |
| Publisher Date | 2013-03-29 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Fractional regularity p-Laplacian Smoothness and regularity of solutions Nikolskii space Degenerate parabolic equations Analysis Doubly nonlinear differential inclusions Galerkin method Maximal monotone operator Nonlinear parabolic equations |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
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