Besov regularity improvement for temperatures

IVANA GÓMEZ

Córdoba

Congreso; IV CLAM Congreso Latinoamericano de Matemáticos; 2012

UMALCA, UMA, CIEM-FAMAF

The improvement of the regularity Besov becomes a tool to measure the rate of con-vergence of nonlinear approximation methods for elliptic and parabolic problems.We will comment the following results obtained for temperatures in Lipschitz cylindri-cal domains:* Pointwise estimates for the space time gradients of temperatures weighted by powersof the distance to the parabolic boundary in terms of maximal operators.* Space-time parabolic Besov regularity in terms of integrability of Besov norms inthe space variable.* Parabolic Besov smoothness improvement for temperatures.