Parabolic Capacity and soft measures for nonlinear equations
نویسندگان
چکیده
We first introduce, using a functional approach, the notion of capacity related to the parabolic p–laplace operator. Then we prove a decomposition theorem for measures (in space and time) that do not charge the sets of null capacity. We apply this result to prove existence and uniqueness of renormalized solutions for nonlinear parabolic initial boundary value problems with such measures as right hand side.
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