Existence and symmetries of solutions in Besov-Morrey spaces for a semilinear heat-wave type equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:432

Article

de Almeida, Marcelo F.¹  Precioso, Juliana C. P.² 

[1] Univ Fed Sergipe, Dept Matemat, BR-49100000 Sao Cristovao, SE, Brazil

[2] Univ Estadual Paulista, Dept Matemat, BR-15054000 Sao Paulo, SP, Brazil

关键词: Fractional partial differential equation;    Riemann-Liouville derivative;    Symmetries;    Self-similarity;    Besov-Morrey spaces;   

DOI  :  10.1016/j.jmaa.2015.06.044

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free