Results 91 to 100 of about 13,183 (198)

Explicit exponential decay bounds in quasilinear parabolic problems

Journal of Inequalities and Applications, 1999
This paper deals with classical solutions of some initial boundary value problems involving the quasilinear parabolic equation where are given functions. In the case of one space variable, i.e.
Piro S Vernier, Philippin GA
doaj  

Second-Order Regularity for Degenerate Parabolic Quasi-Linear Equations in the Heisenberg Group

Mathematics
In the Heisenberg group Hn, we obtain the local second-order HWloc2,2-regularity for the weak solution u to a class of degenerate parabolic quasi-linear equations ∂tu=∑i=12nXiAi(Xu) modeled on the parabolic p-Laplacian equation. Specifically, when 2≤p≤4,
Chengwei Yu, Huiying Wang, Kunpeng Cui, Zijing Zhao   +3 more
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A Compact Difference Scheme for a Class of Variable Coefficient Quasilinear Parabolic Equations with Delay

Abstract and Applied Analysis, 2014
A linearized compact difference scheme is provided for a class of variable coefficient parabolic systems with delay. The unique solvability, unconditional stability, and convergence of the difference scheme are proved, where the convergence order is four
Wei Gu
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A new spline technique for the time fractional diffusion-wave equation. [PDF]

MethodsX, 2023
Singh S, Singh S, Aggarwal A.
europepmc   +1 more source

Solvability of a free-boundary problem describing the traffic flows

Electronic Journal of Differential Equations, 2015
We study a mathematical model of the vehicle traffic on straight freeways, which describes the traffic flow by means of equations of one-dimensional motion of the isobaric viscous gas.
Anvarbek Meirmanov, Sergey Shmarev, Akbota Senkebaeva   +2 more
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Regularity results and asymptotic behavior for a noncoercive parabolic problem. [PDF]

J Evol Equ, 2021
Boccardo L, Orsina L, Porzio MM.
europepmc   +1 more source

A note on $W^{1,p}$ estimates for quasilinear parabolic equations

Electronic Journal of Differential Equations, 2002
This work deals with the study of the $W^{1,p}$ regularity for the solutions to parabolic equations in divergence form. An argument by perturbation based in real analysis is used.
Ireneo Peral, Fernando Soria
doaj  

Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]

Calc Var Partial Differ Equ, 2021
Bögelein V, Heran A, Schätzler L, Singer T.   +3 more
europepmc   +1 more source

Locally Invariant Manifolds for Quasilinear Parabolic Equations

Rocky Mountain Journal of Mathematics, 1991
The paper is concerned with the geometric study of an evolution equation of the form \(x'-Lx=f(t,\lambda,x)\), where \(L:D(L)\to X\) is the generator of a holomorphic semigroup and the nonlinearity \(f\) acts essentially from some interpolation space \(D_ L(\theta+1)\) to \(D_ L(\theta)\).
openaire   +2 more sources

Regularity for anisotropic quasi-linear parabolic equations with variable growth

Electronic Journal of Differential Equations, 2019
In this article, we study a class of anisotropic quasi-linear parabolic equations with variable exponents. Following DiBenedetto's intrinsic scaling method, we prove local continuity of solutions under the condition for which only local boundedness ...
Hamid El Bahja
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