Existence and blow‐up studies of a p(x)‐Laplacian parabolic equation with memory
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DOI: 10.1002/mma.7144
Abstract: In this paper, we establish existence and finite time blow up of weak solutions of a parabolic equation of p(x)-Laplacian type with the Dirichlet boundary condition. Moreover, we obtain upper and lower bounds for the… read more here.
Keywords: parabolic equation; blow studies; studies laplacian; existence blow ... See more keywords
Existence and blow-up rate of large solutions of p(x)-Laplacian equations with gradient terms
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DOI: 10.1016/j.jmaa.2017.08.038
Abstract: Abstract In this paper we investigate boundary blow-up solutions of the problem { − Δ p ( x ) u + f ( x , u ) = ± K ( x ) | ∇… read more here.
Keywords: solutions laplacian; laplacian equations; existence blow; rate large ... See more keywords
Global existence and blow-up of solutions for a system of Petrovsky equations
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DOI: 10.1080/00036811.2016.1249862
Abstract: The initial-boundary value problem for a system of Petrovsky equations with memory and nonlinear source terms in bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable… read more here.
Keywords: system petrovsky; existence blow; global existence; petrovsky equations ... See more keywords
Global existence and blow-up for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity-II
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DOI: 10.1080/00036811.2019.1695784
Abstract: ABSTRACT This paper deals with the following mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity in a bounded domain with zero Dirichlet boundary condition, which was studied in our previous paper [J Math Anal Appl.… read more here.
Keywords: global existence; pseudo parabolic; mixed pseudo; existence blow ... See more keywords