Comparison results for unbounded solutions for a parabolic Cauchy-Dirichlet problem with superlinear gradient growth

In this paper we deal with uniqueness of unbounded solutions to the following problem (formula pergented) where QT = (0, T) × Ω is the parabolic cylinder, Ω is an open subset of RN, N ≥ 2, 1 < p < N, and the right hand side H(t, x, ξ): (0, T) × Ω × RN → R exhibits a superlinear growth with res...

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Detalles Bibliográficos
Autores: Magliocca, Martina, Leonori, Tommaso
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Nacional de Educación a Distancia
Repositorio:e-spacio. Repositorio Institucional de la UNED
Idioma:inglés
OAI Identifier:oai:e-spacio.uned.es:20.500.14468/24440
Acceso en línea:https://hdl.handle.net/20.500.14468/24440
Access Level:acceso abierto
Palabra clave:12 Matemáticas
Uniqueness
nonlinear parabolic equations
unbounded solutions
nonlinear lower order terms
Descripción
Sumario:In this paper we deal with uniqueness of unbounded solutions to the following problem (formula pergented) where QT = (0, T) × Ω is the parabolic cylinder, Ω is an open subset of RN, N ≥ 2, 1 < p < N, and the right hand side H(t, x, ξ): (0, T) × Ω × RN → R exhibits a superlinear growth with respect to the gradient term. © 2019 American Institute of Mathematical Sciences.