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);
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.
recommender: Professor Yoshihiro Tonegawa|
|Uncontrolled Keywords:||heat convection equations, Aronson estimates, two dimensional vorticity equations|
|Subjects:||35-xx PARTIAL DIFFERENTIAL EQUATIONS|