Doubly degenerate parabolic equations with variable nonlinearity. I: Existence of bounded strong solutions
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Publication:1927707
zbMath1388.35113MaRDI QIDQ1927707
Publication date: 2 January 2013
Published in: Advances in Differential Equations (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular parabolic equations (35K67) Strong solutions to PDEs (35D35)
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Doubly degenerate parabolic equations with variable nonlinearity. II: Blow-up and extinction in a finite time ⋮ Strong solutions to a parabolic equation with linear growth with respect to the gradient variable ⋮ Qualitative properties of nonnegative solutions for a doubly nonlinear problem with variable exponents ⋮ Semidiscretization for a doubly nonlinear parabolic equation related to the \({p(x)}\)-Laplacian
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