Solution to a semilinear pseudoparabolic problem with integral conditions. (English) Zbl 1112.35115

Summary: In this article, we use the Rothe time-discretization method to prove the well-posedness of a mixed problem with integral conditions for a third order semilinear pseudoparabolic equation. Also we establish the convergence of the method and an error estimate for a semi-discrete approximation.


35K70 Ultraparabolic equations, pseudoparabolic equations, etc.
35A35 Theoretical approximation in context of PDEs
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35B45 A priori estimates in context of PDEs
35D05 Existence of generalized solutions of PDE (MSC2000)
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