Global existence of solutions of initial boundary value problem for nonlocal parabolic equation with nonlocal boundary condition
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6286
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… read more here.
Keywords: boundary value; global existence; nonlocal parabolic; solutions initial ... See more keywords
Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation
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DOI: 10.1063/1.5004668
Abstract: In this paper, we consider a nonlocal parabolic equation associated with initial and Dirichlet boundary conditions. First, we discuss the vacuum isolating behavior of solutions with the help of a family of potential wells. Then… read more here.
Keywords: parabolic equation; behavior solutions; vacuum isolating; nonlocal parabolic ... See more keywords
Optical propagation patterns in nonlocal parabolic law medium
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DOI: 10.1142/s0217984919504451
Abstract: The model of optical propagation in nonlocal parabolic law medium is described by nonlinear Schrodinger equation with high-order nonlinear terms. Exact optical propagation patterns are constructed ... read more here.
Keywords: propagation; propagation patterns; law medium; optical propagation ... See more keywords
Finite time blow-up and global solutions for a nonlocal parabolic equation with Hartree type nonlinearity
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DOI: 10.3934/cpaa.2020134
Abstract: This paper is concerned with the initial boundary value problem of a nonlocal parabolic equation. By establishing the comparison principle and studying the long-time behavior of its flow, we find the criteria for finite time… read more here.
Keywords: finite time; parabolic equation; time; nonlocal parabolic ... See more keywords