Year: 2006
Journal of Partial Differential Equations, Vol. 19 (2006), Iss. 1 : pp. 26–47
Abstract
In this paper, we establish the existence of global self-similar solutions for the heat and convection-diffusion equations. This we do in some homogeneous Besov spaces using the theory of Besov spaces and the Strichartz estimates. Further, the structure of the self-similar solutions has also been established by using an equivalent norm for Besov spaces.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-JPDE-5319
Journal of Partial Differential Equations, Vol. 19 (2006), Iss. 1 : pp. 26–47
Published online: 2006-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Strichartz estimates