TY - JOUR
T1 - Besov Spaces and Self-similar Solutions for Nonlinear Evolution Equations
AU - Changxing Miao & Bo Zhang 
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 - <p>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.</p>