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|Type:||Artigo de periódico|
|Title:||SELF-SIMILARITY, SYMMETRIES AND ASYMPTOTIC BEHAVIOR IN MORREY SPACES FOR A FRACTIONAL WAVE EQUATION|
|Author:||de Almeida, MF|
|Abstract:||This paper is concerned with a fractional PDE that interpolates semilinear heat and wave equations. We show results on global-in-time well-posedness for small initial data in the critical Morrey spaces and space dimension n >= 1. We also remark how to derive the local-in-time version of the results. Qualitative properties of solutions like self-similarity, antisymmetry and positivity are also investigated. Moreover, we analyze the asymptotic stability of the solutions and obtain a class of asymptotically self-similar solutions.|
|Editor:||Khayyam Publ Co Inc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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