On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification

On the weak solution of a three-point boundary value problem for a class of parabolic equations with energy specification

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This paper deals with weak solution in firestorm darts weighted Sobolev spaces, of three-point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries.We, firstly, milwaukee hd800p prove the existence, uniqueness, and continuous dependence of the solution for the linear equation.Next, analogous results are established for the quasilinear problem, using an iterative process based on results obtained for the linear problem.