Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation
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Elsevier B.V.
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This paper considers a semilinear integro-differential equation of Volterra type which interpolates semilinear heat and wave equations. Global existence of solutions is showed in spaces of Besov type based in Morrey spaces, namely Besov-Morrey spaces. Our initial data is larger than the previous works and our results provide a maximal existence class for semilinear interpolated heat-wave equation. Some symmetries, self-similarity and asymptotic behavior of solutions are also investigated in the framework of Besov Morrey spaces. (C) 2015 Elsevier Inc. All rights reserved.
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Fractional partial differential equation, Riemann-Liouville derivative, Symmetries, Self-similarity, Besov-Morrey spaces
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Inglês
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Journal Of Mathematical Analysis And Applications. San Diego: Academic Press Inc Elsevier Science, v. 432, n. 1, p. 338-355, 2015.
