Add to ORKGWe make some remarks on the linear wave equation concerning the existence and uniqueness of weak solutions, satisfaction of the energy equation, growth properties of solutions, the passage from bounded to unbounded domains, and reconciliation of different representations of solutions
We show that smooth solutions to nonlinear wave and Schrödinger equations involving coercive nonline...
In dimensions one to three, the fundamental solution to the free wave equation is positive. Therefor...
In this paper, we investigate the stability of the linear wave equation where one part of the bounda...
We make some remarks on the linear wave equation concerning the existence and uniqueness of weak sol...
In this article, we are concerned with the stability of solutions for the wave equation with a weakl...
AbstractThe semilinear wave equation □u + m2u + ¦u¦p − 2 u(V∗ ¦u¦p) = 0 in Ω= R3, −∞ < t < ∞, is stu...
In this article, we are concerned with the stability of solutions for the wave equation with a weakl...
We shall give a new proof of temporally global existence of small solutions for systems of semi-line...
In this paper we establish a complete local theory for the energy-critical nonlinear wave equation (...
We consider the recovery of a potential associated with a semi-linear wave equation on Rn+1, n > 1. ...
In this paper we prove local existence of weak solutions for a semilinear wave equation with power-l...
Our recent results on wave equations with dissipation are surveyed and resolvent estimates for s...
AbstractIn this paper, we study, by means of a modification of the weighted energy method, the quest...
AbstractLet u(x, t) be the solution of utt − Δxu = 0 with initial conditions u(x, 0) = g(x) and ut(x...
We study a wave equation in one dimensional space with nonlinear dissipative boundary feedback at bo...
We show that smooth solutions to nonlinear wave and Schrödinger equations involving coercive nonline...
In dimensions one to three, the fundamental solution to the free wave equation is positive. Therefor...
In this paper, we investigate the stability of the linear wave equation where one part of the bounda...
We make some remarks on the linear wave equation concerning the existence and uniqueness of weak sol...
In this article, we are concerned with the stability of solutions for the wave equation with a weakl...
AbstractThe semilinear wave equation □u + m2u + ¦u¦p − 2 u(V∗ ¦u¦p) = 0 in Ω= R3, −∞ < t < ∞, is stu...
In this article, we are concerned with the stability of solutions for the wave equation with a weakl...
We shall give a new proof of temporally global existence of small solutions for systems of semi-line...
In this paper we establish a complete local theory for the energy-critical nonlinear wave equation (...
We consider the recovery of a potential associated with a semi-linear wave equation on Rn+1, n > 1. ...
In this paper we prove local existence of weak solutions for a semilinear wave equation with power-l...
Our recent results on wave equations with dissipation are surveyed and resolvent estimates for s...
AbstractIn this paper, we study, by means of a modification of the weighted energy method, the quest...
AbstractLet u(x, t) be the solution of utt − Δxu = 0 with initial conditions u(x, 0) = g(x) and ut(x...
We study a wave equation in one dimensional space with nonlinear dissipative boundary feedback at bo...
We show that smooth solutions to nonlinear wave and Schrödinger equations involving coercive nonline...
In dimensions one to three, the fundamental solution to the free wave equation is positive. Therefor...
In this paper, we investigate the stability of the linear wave equation where one part of the bounda...