Dept. Math, Hokkaido Univ. EPrints Server

A lower bound for fundamental solutions of the heat convection equations

Preprint Series # 788
Maekawa, Yasunori A lower bound for fundamental solutions of the heat convection equations. (2006);

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Abstract

This paper studies the heat convection equations when the convection term has some singularities at time zero. We shall establish the pointwise estimates for fundamental solutions from below by the Gaussian-like functions. As an application, we prove the existence and uniqueness of the mild solutions of the equations.

Item Type:Preprint
Additional Information:copy:40 recommender: Professor Yoshihiro Tonegawa
Uncontrolled Keywords:heat convection equations, Aronson estimates, two dimensional vorticity equations
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1544