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Cauchy’s Problem for Degenerate Quasilinear Parabolic Equations

Theory of Probability & Its Applications, 1964
In this paper we consider the differential properties of the solution to the Cauchy problem for the quasilinear parabolic equation \[ (1)\qquad \frac{{\partial v}}{{\partial t}} = \frac{1}{2}\sum\limits_{i,j = 1}^n {c_{ij} } (t,x,v)\frac{{\partial ^2 v}}{{\partial x_i \partial x_i }} + \sum\limits_{i = 1}^n {a_i } (t,x,v)\frac{{\partial v}}{{\partial ...
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Removable Sets for Quasilinear Parabolic Equations

Journal of the London Mathematical Society, 1980
Gariepy, Ronald, Ziemer, William P.
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On the vanishing of solutions of quasilinear parabolic equations

Differential Equations, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON QUASILINEAR PARABOLIC EQUATIONS

Russian Mathematical Surveys, 1980
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QUASILINEAR ELLIPTIC-PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik, 1968
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Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics

SIAM Journal on Mathematical Analysis, 2022
Barbara Kaltenbacher, Vanja Nikolic
exaly  

Quasilinear parabolic equations in \(C^ k\) spaces

1997
Summary: We study abstract quasilinear parabolic equations by a perturbation method. We apply our results to equations and systems of physical interest, with data in spaces of \(C^k\) functions.
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Nonlocal Problems for Quasilinear Parabolic Equations

2002
We study a class of quasilinear parabolic equations with nonlocal initial conditions. The initial conditions are a generalization of periodicity with respect to time and include conditions studied by other authors, which can be used to study inverse problems and problems arising in reactor theory.
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Time-Periodic Solutions of Quasilinear Parabolic Differential Equations

Journal of Mathematical Analysis and Applications, 2001
Gary M Lieberman
exaly  

Sturm attractors for quasilinear parabolic equations

Journal of Differential Equations, 2018
Phillipo Lappicy
exaly  

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