TY - JOUR T1 - Besov Spaces and Self-similar Solutions for Nonlinear Evolution Equations JO - Journal of Partial Differential Equations VL - 1 SP - 26 EP - 47 PY - 2006 DA - 2006/02 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5319.html KW - Strichartz estimates KW - admissible triplet KW - self-similar solution KW - Besov spaces KW - evolution equations KW - well-posedness AB -

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.