Volume 19, Issue 1
Besov Spaces and Self-similar Solutions for Nonlinear Evolution Equations

Changxing Miao and Bo Zhang

J. Part. Diff. Eq., 19 (2006), pp. 26-47.

Preview Full PDF BiBTex 200 419
  • 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.

  • History

Published online: 2006-02

  • AMS Subject Headings

35K15, 35K20.

  • Cited by