Existence of weak solutions for a nonlinear parabolic equations by Topological degree
Existence of weak solutions for a nonlinear parabolic equations by Topological degree
We study the nonlinear parabolic initial boundary value problem associated to the equation ut − diva(x, t, u, grad u) = f(x, t), where the terme − diva(x, t, u, grad u) is a Leray-Lions operator, The right-hand side f is assumed to belong to L^q(Q). We prove the existence …