Results 11 to 20 of about 135,615 (350)
Ulam-Hyers stability of a parabolic partial differential equation
Demonstratio Mathematica, 2019 The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability.
Marian Daniela +2 more
doaj +2 more sources
Homogenization of a nonlinear random parabolic partial differential equation [PDF]
Stochastic Processes and their Applications, 2003 AbstractThe aim of this work is to show how to homogenize a semilinear parabolic second-order partial differential equation, whose coefficients are periodic functions of the space variable, and are perturbed by an ergodic diffusion process, the nonlinear term being highly oscillatory.
Andrey Piatnitski, Etienne Pardoux
openaire +2 more sources
An inverse problem for a parabolic partial differential equation
Rocky Mountain Journal of Mathematics, 1983 On cherche le coefficient a(x) ainsi que la temperature u(x,t) dans le probleme aux valeurs initiales suivant: u t (x,t)-u xx (x,t)+u(x)u(x,t)=o ...
W. Rundell
openaire +4 more sources
A stability analysis for a semilinear parabolic partial differential equation [PDF]
Journal of Differential Equations, 1974 AbstractWe consider a parabolic partial differential equation ut = uxx + f(u), where − ∞ < x < + ∞ and 0 < t < + ∞. Under suitable hypotheses pertaining to f, we exhibit a class of initial data φ(x), − ∞ < x < + ∞, for which the corresponding solutions u(x, t) approach zero as t → + ∞.
N. Chafee
openaire +2 more sources
, 1999 .. partial differential equations PDEs with time-dependent spatial domains, whose dynamics can be partitioned into slow and fast ones. Initially, a nonlinear model reduction scheme, similar to the one introduced in Christofides and Daoutidis, J. .
Antonios Armaou +1 more
openalex +2 more sources
Solving linear parabolic rough partial differential equations [PDF]
Journal of Mathematical Analysis and Applications, 2020 We study linear rough partial differential equations in the setting of [Friz and Hairer, Springer, 2014, Chapter 12]. More precisely, we consider a linear parabolic partial differential equation driven by a deterministic rough path W of Hölder regularity with .
John Schoenmakers +5 more
openaire +6 more sources
A priori estimate of the solution of the Cauchy problem in the Sobolev classes for discontinuous coefficients of degenerate heat equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Partial differential equations of the parabolic type with discontinuous coefficients and the heat equation degenerating in time, each separately, have been well studied by many authors. Conjugation problems for time-degenerate equations of the parabolic
U.K. Koilyshov +2 more
doaj +2 more sources
Covariance structure of parabolic stochastic partial differential equations [PDF]
Stochastic Partial Differential Equations: Analysis and Computations, 2013 In this paper parabolic random partial differential equations and parabolic stochastic partial differential equations driven by a Wiener process are considered. A deterministic, tensorized evolution equation for the second moment and the covariance of the solutions of the parabolic stochastic partial differential equations is derived. Well-posedness of
Annika Lang +2 more
openaire +7 more sources
Parabolic weighted norm inequalities and partial differential equations [PDF]
Analysis & PDE, 2016 29 pages. To appear in Anal. PDE. Referee's corrections incorporated.
Saari, Olli, Kinnunen, Juha
openaire +5 more sources
Boundary 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