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Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition

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We prove the global existence and blow‐up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained results depend on the… Click to show full abstract

We prove the global existence and blow‐up of solutions of an initial boundary value problem for nonlinear nonlocal parabolic equation with nonlinear nonlocal boundary condition. Obtained results depend on the behavior of variable coefficients for large values of time.

Keywords: boundary value; global existence; nonlocal parabolic; solutions initial; initial boundary; value problem

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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