Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/71409
Type: Artigo de periódico
Title: SELF-SIMILARITY, SYMMETRIES AND ASYMPTOTIC BEHAVIOR IN MORREY SPACES FOR A FRACTIONAL WAVE EQUATION
Author: de Almeida, MF
Ferreira, LCF
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.
Country: EUA
Editor: Khayyam Publ Co Inc
Rights: fechado
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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