Results 181 to 186 of about 6,469 (186)

One-dimensional symmetry of bounded entire solutions of some elliptic equations

, 2000
This paper is about one-dimensional symmetry properties for some entire and bounded solutions of ∆u + f(u) = 0 in IR. We consider solutions u such that −1 < u < 1 and u(x1, · · · , xn) → ±1 as xn → ±∞, uniformly with respect to x1, · · · , xn−1.
H. Berestycki, F. Hamel, R. Monneau
semanticscholar   +1 more source

Existence, uniqueness and concentration for a system of PDEs involving the Laplace–Beltrami operator

Interfaces and free boundaries (Print), 2019
In this paper we derive a model for heat diffusion in a composi te medium in which the different components are separated by thermally active interf ac s.
M. Amar, R. Gianni
semanticscholar   +1 more source

Hypocoercive Diffusion Operators

, 2006
In many problems coming from mathematical physics, the association of a degenerate diffusion operator with a conservative operator may lead to dissipation in all variables and convergence to equilibrium.
C. Villani
semanticscholar   +1 more source

Asymptotic behavior for the vorticity equations in dimensions two and three

, 1994
We establish the selfsimilar behavior of the solutions of the two and three dimensional vorticity equations for some classes of initial data. More precisely, any solution v of the two dimensional vorticity equation taking as initial data a finite Radon ...
A. Carpio
semanticscholar   +1 more source

The damped elastic stretched string equation generalized: existence, uniqueness, regularity and stability

, 1982
In this paper we prove existence for all time t≦0, uniqueness, regularity and stability of solutions of a Cauchy problem in a Hilbert space H for the equation when δ is a positive constant sufficiently large, A an operator in H and M a given function ...
E. H. D. Brito, J. Hale
semanticscholar   +1 more source

General Uniqueness Results and Variation Speed for Blow‐Up Solutions of Elliptic Equations

, 2005
F. Cîrstea, Yihong Du
semanticscholar   +1 more source