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Título:
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Linear and semilinear higher order parabolic equations in R-N
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Autores:
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Rodríguez Bernal, Aníbal ;
Cholewa, Jan W.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2010-01
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Funciones (Matemáticas)
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Tipo = Artículo
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Resumen:
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In this paper we consider some fourth order linear and semilinear equations in R-N and make a detailed study of the solvability of the Cauchy problem. For the linear equation we consider some weakly integrable potential terms, and for any 1
Using this result, we prove that the nonlinear problems we consider can be solved for initial data in L-p(RN) and in H-p(2) (R-N). We also find the corresponding critical exponents, that is, the largest growth allowed for the nonlinear terms for these classes of initial data.
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En línea:
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https://eprints.ucm.es/id/eprint/17660/1/RodBernal04.pdf
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