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 weighted 2013 nissan sentra intake manifold 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, 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 azalea southern charm process based on results obtained for the linear problem.