Results 81 to 90 of about 1,241 (227)

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
doaj   +1 more source

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
doaj   +1 more source

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

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
doaj  

Forward-backward stochastic differential equations and quasilinear parabolic PDEs [PDF]

, 1999
Étienne Pardoux, Shanjian Tang
openalex   +1 more source

On a quasilinear parabolic integrodifferential equation

Differential and Integral Equations, 1995
The author considers the nonlinear Volterra integrodifferential equation \(u_ t - a* \text{div} h(\text{grad} u) = a*g\), where \(x \in \mathbb{R}^ n\), \(t \geq 0\) and where the initial function \(u(0,x) = w(x)\) is given. The kernel \(a\) satisfies \(a \in L^ 1_{\text{loc}} (\mathbb{R}^ +)\) and the parabolic condition \(\text{Re}\widetilde a ...
openaire   +3 more sources

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

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  

On the Uniqueness of Schwarzschild-de Sitter Spacetime. [PDF]

Arch Ration Mech Anal, 2023
Borghini S, Chruściel PT, Mazzieri L.
europepmc   +1 more source