Hölder gradient estimates for a class of singular or degenerate parabolic equations [PDF]
Advances in Nonlinear Analysis, 2017 We prove interior Hölder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic ...
Imbert Cyril +2 more
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On Degenerate Parabolic Equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 The paper deals with the existence of solutions of some generalized Stefan-type equation in the framework of Orlicz spaces.
Mohammed Kbiri Alaoui
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Strong Traces to Degenerate Parabolic Equations [PDF]
SIAM Journal on Mathematical Analysis, 2022 We prove existence of strong traces at $t=0$ for quasi-solutions to (multidimensional) degenerate parabolic equations with no non-degeneracy conditions. In order to solve the problem, we combine the blow up method and a strong precompactness result for quasi-solutions to degenerate parabolic equations with the induction argument with respect to the ...
Marko Erceg, Darko Mitrovic
openaire +8 more sources
Convergence analysis of domain decomposition based time integrators for degenerate parabolic equations. [PDF]
Numer Math (Heidelb), 2018 Domain decomposition based time integrators allow the usage of parallel and distributed hardware, making them well-suited for the temporal discretization of parabolic systems.
Eisenmann M, Hansen E.
europepmc +3 more sources
Convergence for Degenerate Parabolic Equations
Journal of Differential Equations, 1999 The authors consider degenerate parabolic problems of the form \[ \begin{aligned} u_t-\varphi \bigl(u(x,t) \bigr)_{xx}= f\bigl(u(x,t) \bigr),\quad & x\in (-L,L),\;t>0,\\ u(-L,t)= u(L,t)=0, \quad & t>0,\\ u(x,0)= u_0(t)\geq 0,\quad & x\in (-L,L), \end{aligned} \] where \(\varphi\) and \(f\) are sufficiently regular functions satisfying \(\varphi(0)=0\),
Eduard Feireisl
exaly +3 more sources
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2023 In this paper, we consider the Cauchy problem for the degenerate parabolic equations on the Heisenberg groups with power law non-linearities. We obtain Fujita-type critical exponents, which depend on the homogeneous dimension of the Heisenberg groups ...
A. Fino, Michael Ruzhansky, B. Torebek
semanticscholar +1 more source
Regularity results for a class of widely degenerate parabolic equations [PDF]
Advances in Calculus of Variations, 2022 Motivated by applications to gas filtration problems, we study the regularity of weak solutions to the strongly degenerate parabolic PDE u t - div ( ( | D u | - ν ) + p - 1 D u | D u | ) = f in Ω T = Ω × ( 0 , T ) , u_{t}-\operatorname{div}\
Pasquale Ambrosio +1 more
semanticscholar +1 more source
Stackelberg–Nash Null Controllability for a Non Linear Coupled Degenerate Parabolic Equations [PDF]
Applied Mathematics and Optimization, 2022 The main purpose of this paper is to apply the notion of hierarchical control to a coupled degenerate non linear parabolic equations. We use the Stackelberg–Nash strategy with one leader and two followers.
Landry Djomegne +3 more
semanticscholar +1 more source
Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms [PDF]
Mathematica Bohemica, 2023 In this paper, we study the existence results for some parabolic equations with degenerate coercivity, singular lower order term depending on the gradient, and positive initial data in $L^1$.
Rabah Mecheter, Fares Mokhtari
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An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations [PDF]
Numerical Methods for Partial Differential Equations, 2021 An oscillation free local discontinuous Galerkin (OFLDG) method is proposed for solving nonlinear degenerate parabolic equations. The damping terms are added to the original LDG scheme to control the spurious oscillations when solutions have a large ...
Q. Tao +3 more
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