Results 11 to 20 of about 1,209,265 (177)

MONOTONE ECONOMICAL SCHEMES FOR QUASILINEAR PARABOLIC EQUATIONS

open access: yesMathematical Modelling and Analysis, 2002
In order to approximate a multidimensional quasilinear parabolic equation with unlimited nonlinearity the economical vector‐additive scheme is constructed. It is shown that its solution satisfies the maximum principle and, hence, the scheme is monotone.
Dzenisenko, N. V.   +2 more
openaire   +5 more sources

The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications [PDF]

open access: yes, 2008
This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, Xuerong   +2 more
core   +4 more sources

Finite element solutions to boundary value problems [PDF]

open access: yes, 1976
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
core   +7 more sources

One dimensional parabolic free boundary problems [PDF]

open access: yes, 1975
The method of lines is used to approximate explicit and implicit free boundary problems for a linear one dimensional diffusion equation with a sequence of free boundary problems for ordinary differential equations.
Meyer, G H
core   +6 more sources

Nonlinear parabolic equation having nonstandard growth condition with respect to the gradient and variable exponent [PDF]

open access: yesOpuscula Mathematica, 2021
We are concerned with the existence of solutions to a class of quasilinear parabolic equations having critical growth nonlinearity with respect to the gradient and variable exponent.
Abderrahim Charkaoui   +2 more
doaj   +1 more source

Well-posedness and stationary solutions [PDF]

open access: yes, 2011
In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Grinfeld, Michael, Burns, Martin
core   +4 more sources

Existence and stability of traveling waves in parabolic systems of differential equations with weak diffusion

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The aim of the present paper is to investigate of some properties of periodic solutions of a nonlinear autonomous parabolic systems with a periodic condition.
I.I. Klevchuk
doaj   +1 more source

On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

open access: yesBoundary Value Problems, 2007
A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained.
Yuandi Wang, Hamdi Zorgati
doaj   +2 more sources

On the local integrability and boundedness of solutions to quasilinear parabolic systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2004
We introduce a structure condition of parabolic type, which allows for the generalization to quasilinear parabolic systems of the known results of integrability, and boundedness of local solutions to singular and degenerate quasilinear parabolic ...
T. Giorgi, M. O'Leary
doaj   +1 more source

Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems

open access: yesBoundary Value Problems, 2018
This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
doaj   +1 more source

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