Lorentz estimates for asymptotically regular fully nonlinear parabolic equations
We prove a global Lorentz estimate of the Hessian of strong solutions to the Cauchy-Dirichlet problem for a class of fully nonlinear parabolic equations with asymptotically regular nonlinearity over a bounded $C^{1,1}$ domain. Here, we mainly assume that the associated regular nonlinearity satisfies...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/690 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/690 |
| Access Level: | acceso abierto |
| Palabra clave: | fully nonlinear parabolic equations asymptotically regular strong solutions $(\delta,R)$-vanishing condition Lorentz spaces |
| Sumario: | We prove a global Lorentz estimate of the Hessian of strong solutions to the Cauchy-Dirichlet problem for a class of fully nonlinear parabolic equations with asymptotically regular nonlinearity over a bounded $C^{1,1}$ domain. Here, we mainly assume that the associated regular nonlinearity satisfies uniformly parabolicity and the $(\delta,R)$-vanishing condition, and the approach of constructing a regular problem by an appropriate transformation is employed. |
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