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In this paper, we investigate an initial boundary value problem for a nonlinear pseudoparabolic equation. At first, by applying the Faedo-Galerkin, we prove local existence and uniqueness results. Next, by… Click to show full abstract
In this paper, we investigate an initial boundary value problem for a nonlinear pseudoparabolic equation. At first, by applying the Faedo-Galerkin, we prove local existence and uniqueness results. Next, by constructing Lyapunov functional, we establish a sufficient condition to obtain the global existence and exponential decay of weak solutions.
Keywords:
local existence;
pseudoparabolic equation;
nonlinear pseudoparabolic;
existence exponential;
exponential decay;
existence
Journal Title: Nonlinear functional analysis and applications
Year Published: 2021
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Journal Title: Nonlinear functional analysis and applications
Year Published: 2021
Link to full text (if available)
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recommendations!