Quasilinear parabolic equation - Open Access .click

Journal of Partial Differential Equations, 1993
Summary: This article is concerned with the position of blow-up points, blow up rate and an isoperimetric problem for the equation \(u_ t = \Delta u^ m + u^ p\) \((p>m \geq 1)\) in a convex bounded domain.
Wang, Liwen, Chen, Qingyi
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Central manifolds of quasilinear parabolic equations

Ukrainian Mathematical Journal, 1998
This paper deals with a nonlinear parabolic problem of the following form \[ \frac{\partial u}{\partial t}- \sum_{|\alpha |= 2m} a_{\alpha}(x,u,\dots, D^{\beta}u) D^{\alpha } u= f (x, u,\dots, D^{\beta}u), \quad |\beta |\leq 2m-1, \tag{1} \] where \( \alpha =(\alpha_{1},\dots, \alpha_{n}) \) is a multi-index and \( D^{\alpha } = \partial^{|\alpha |} / \
Belan, E. P., Lykova, O. B.
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Removable Singularities and Quasilinear Parabolic Equations

Proceedings of the London Mathematical Society, 1984
On etablit un theoreme sur les singularites eliminables pour des equations parabiliques ...
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Generalized Quasilinearization for Quasilinear Parabolic Equations with Nonlinearities of DC Type

Journal of Optimization Theory and Applications, 2001
The authors consider an initial-boundary value problem for a class of quasilinear parabolic equations whose lower-order nonlinearity is of d.c. function type (difference of two convex functions) with respect to the dependent variable. Combining the method of quasilinearization with the well-known method of upper and lower solutions together with the ...
Carl, S., Lakshmikantham, V.
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nonlinear parabolic equations
mathematics
quasilinear parabolic equations

degenerate parabolic equations
analysis
maximum principle

existence
uniqueness
qa1-939