The Cauchy problem for ut = div(|▿u|p−2▿u) when
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Publication:4842099
DOI10.1016/0362-546X(94)00110-4zbMath0829.35061OpenAlexW2232447795MaRDI QIDQ4842099
Publication date: 15 January 1996
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(94)00110-4
Non-Newtonian fluids (76A05) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)
Related Items (8)
The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour ⋮ Solution to nonlinear parabolic equations related to \(P\)-Laplacian ⋮ Second critical exponent for evolution \(p\)-Laplacian equation with weighted source ⋮ \(L^\infty \) estimates and uniqueness results for nonlinear parabolic equations with gradient absorption terms ⋮ \(q\)-moment estimates for the singular \(p\)-Laplace equation and applications ⋮ Regularity and time behavior of the solutions to weak monotone parabolic equations ⋮ Existence of solutions for nonlinear parabolic problem with \(p(x)\)-growth ⋮ New critical exponents, large time behavior, and life span for a fast diffusive \(p\)-Laplacian equation with nonlocal source
Cites Work
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- Continuity of the gradient for weak solutions of a degenerate parabolic equation
- Hölder continuity of the gradient of the solutions of certain degenerate parabolic equations
- On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
- Hölder estimates for nonlinear degenerate parabolic sytems.
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- The Cauchy Problem for u t = Δu m When 0 < m < 1
- Widder’s Inversion Theorem and the Initial Distribution Problems
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