Results 151 to 160 of about 1,588 (189)

Asymptotics for Semilinear Elliptic Systems

Canadian Mathematical Bulletin, 1991
AbstractA class of weakly coupled systems of semilinear elliptic partial differential equations is considered in an exterior domain in ℝN, N > 3. Necessary and sufficient conditions are given for the existence of a positive solution (componentwise) with the asymptotic decay u(x) = O(|x|2-N) as |x| —> ∞.
Noussair, Ezzat S., Swanson, Charles A.
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Moments of Semilinear Random Evolutions

SIAM Journal on Applied Mathematics, 1981
We consider a general class of random evolutions which we call semilinear. We establish and discuss equations from which the first two moments of such processes can be computed. This is done by proving a generalization of the Feynman–Kac formula and using a duality argument between a backward and a forward equation.
Bouc, R., Pardoux, E.
openaire   +1 more source

The Semilinear Problem

2016
In this chapter we introduce our main motivating problem: the search of periodic solutions to some second order ordinary differential equations. We will see how it can be generalized to an abstract equation in a Hilbert space.
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Singularly Perturbed Semilinear Systems

Studies in Applied Mathematics, 1979
Solutions of a singularly perturbed vector boundary‐value problem are studied under the principal assumption that the trivial solution of the unperturbed equation is stable in certain senses. This is accomplished by constructing special invariant regions in which solutions display the kind of nonuniformity known as boundary‐layer behavior.
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On a semilinear volterra integrodifferential equation

Israel Journal of Mathematics, 1980
The Volterra integrodifferential equation $$\begin{array}{*{20}c} {u_t (t,x) + \smallint '_0 a(t - s)( - \Delta u(s,x) + f(x,u(s,x)))ds = h(t,x),,} \\ {t > 0,x \in \Omega \subset R^N ,} \\ \end{array} $$ together with boundary and initial conditions is considered.
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Semilinear Logics

2021
Petr Cintula, Carles Noguera
openaire   +1 more source

Semilinear Subdiffusion

2023
Bangti Jin, Zhi Zhou
openaire   +1 more source

On the Existence of Positive Solutions of Semilinear Elliptic Equations

SIAM Review, 1982
P L Lions
exaly  

Unique determination of potentials and semilinear terms of semilinear elliptic equations from partial Cauchy data

Journal of Inverse and Ill-Posed Problems, 2013
Masahiro Yamamoto
exaly  

Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints

SIAM Journal on Control and Optimization, 1993
Eduardo Casas
exaly