We consider the nonlinear heat equation (with Leray-Lions operators) on an open bounded subset of R-N with Dirichlet homogeneous boundary conditions. The initial condition is in L-1 and the right hand side is a smooth measure. We extend a previous notion of entropy solutions and prove that they coincide with the renormalized solutions.
|Pages (from-to)||181 - 205|
|Number of pages||25|
|Journal||Nodea-Nonlinear Differential Equations and Applications|
|Publication status||Published - 2007|