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Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic–hyperbolic equations

Journal of Differential Equations, 2012
The aim of this paper is to prove the well-posedness (existence and uniqueness) of entropy solutions to the general anisotropic degenerate parabolic–hyperbolic equations with L∞ initial data and homogeneous Dirichlet boundary condition.
Yachun Li
exaly   +2 more sources

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Boundary Value Problems for Quasi-Hyperbolic Equations with Degeneration

Mathematical Notes, 2022
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Kozhanov, A. I., Spiridonova, N. R.
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Weakly Degenerate Hyperbolic Equations

Differential Equations, 2003
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A nonlocal problem for degenerate hyperbolic equation

Russian Mathematics, 2017
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Repin, O. A., Kumykova, S. K.
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Hyperbolic Phenomena in a Degenerate Parabolic Equation

Journal of Partial Differential Equations, 1997
The author studies an equation of the form \[ u_t = (\phi (u)\psi (u_x))_x, \quad (x,t)\in\mathbb{R}\times (0,\infty), \] where \(\phi : \mathbb{R}^+\mapsto \mathbb{R}^+\) is smooth, \(\phi\in C[0,+\infty)\), \(\phi(0)=0\), \(\phi'(s)>0\;(s>0)\), \(\lim_{s\to +0}s/\phi (s) =0\), and \(\psi :\mathbb{R}\mapsto \mathbb{R}\) is a strictly increasing smooth
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The Dirichlet Problem for a Degenerate Hyperbolic Equation in a Rectangle

Differential Equations, 2001
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Nonhomogeneous Dirichlet Problems for Degenerate Parabolic-Hyperbolic Equations

Archive for Rational Mechanics and Analysis, 2002
This paper is dedicated to study initial boundary value problem for the parabolic-hyperbolic equation \[ \partial_t u - \Delta b(u) + \text{div} \Phi(u) = g(x,t), \] \[ u _{t=0} = u_0(x), \qquad u _{\partial \Omega \times (0,T)} = a_0(x), \] in the case of nonhomogeneous boundary data \(a_0\).
MASCIA, Corrado, Alessio Porretta, TERRACINA, Andrea   +2 more
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Maslov’s canonical operator for degenerate hyperbolic equations

Russian Journal of Mathematical Physics, 2014
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The Bitsadze–Samarskii Problem for a Class of Degenerate Hyperbolic Equations

Differential Equations, 2002
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Salakhitdinov, M. S., Mirsaburov, M.
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Möbius transformation and degenerate hyperbolic equation

Advances in Applied Clifford Algebras, 2001
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