The authors consider the solutions of non linear second order parabolic equations/systems that are the natural generalization for evolutionary p-Laplacean. More precisely the Authors, first, prove the local Lipshitz regularity of solutions to a class of parabolic equations characterized by weak growth, differentiability and ellipticity assumptions. Then, they face the vectorial case, first assuming particular structure for the operator and , in this special case, they extend the result proved for the scalar case. For the general vectorial case, the Authors prove a higher integrability results by approximating the solutions of the nonlinear parabolic system with the solutions of more regular parabolic systems.
Regularity results for non smooth parabolic problems
PISANTE, Giovanni;
2008
Abstract
The authors consider the solutions of non linear second order parabolic equations/systems that are the natural generalization for evolutionary p-Laplacean. More precisely the Authors, first, prove the local Lipshitz regularity of solutions to a class of parabolic equations characterized by weak growth, differentiability and ellipticity assumptions. Then, they face the vectorial case, first assuming particular structure for the operator and , in this special case, they extend the result proved for the scalar case. For the general vectorial case, the Authors prove a higher integrability results by approximating the solutions of the nonlinear parabolic system with the solutions of more regular parabolic systems.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
