We present a scaling technique which transforms the evolution problem for a nonlinear wave equation with small initial data to a linear wave equation with a distributional source. The exact solution of the latter uniformly approximates the late-time behavior of solutions of the nonlinear problem in timelike and null directions
Abstract In this article, we study the pointwise decay properties of solutions to the wave equation ...
Abstract In this article, we study the pointwise decay properties of solutions to the wave equation ...
We describe in this article two recent results [11], [12], obtained by the author jointly with W. Sc...
We present a scaling technique which transforms the evolution problem for a nonlinear wave equation ...
We apply our recently developed scaling technique for obtaining late-time asymptotics to the cubic n...
For nonlinear wave equations with a potential term, we prove pointwise space-time decay estimates an...
We derive the exact late-time asymptotics for small spherically symmetric solutions of nonlinear wav...
AbstractThe first initial-boundary value problem is considered for the damped semilinear wave equati...
AbstractWe study the long time behavior of small solutions to the nonlinear damped wave equationεuττ...
We prove Weighted-L∞ and pointwise space-time decay estimates for weak solutions of a class of wave ...
AbstractGiven a solution of the Cauchy problem for nonlinear wave equations of the type ∂2u∂t2 − Δu ...
In arXiv:0812.4333v2 Bizon et al discuss the power-law tail in the long-time evolution of a spherica...
The aim of this paper is to prove a blow-up result of the solution for a semilinear scale invariant ...
The aim of this paper is to prove a blow-up result of the solution for a semilinear scale invariant ...
AbstractThis paper deals with the asymptotic theory of initial value problems for semilinear wave eq...
Abstract In this article, we study the pointwise decay properties of solutions to the wave equation ...
Abstract In this article, we study the pointwise decay properties of solutions to the wave equation ...
We describe in this article two recent results [11], [12], obtained by the author jointly with W. Sc...
We present a scaling technique which transforms the evolution problem for a nonlinear wave equation ...
We apply our recently developed scaling technique for obtaining late-time asymptotics to the cubic n...
For nonlinear wave equations with a potential term, we prove pointwise space-time decay estimates an...
We derive the exact late-time asymptotics for small spherically symmetric solutions of nonlinear wav...
AbstractThe first initial-boundary value problem is considered for the damped semilinear wave equati...
AbstractWe study the long time behavior of small solutions to the nonlinear damped wave equationεuττ...
We prove Weighted-L∞ and pointwise space-time decay estimates for weak solutions of a class of wave ...
AbstractGiven a solution of the Cauchy problem for nonlinear wave equations of the type ∂2u∂t2 − Δu ...
In arXiv:0812.4333v2 Bizon et al discuss the power-law tail in the long-time evolution of a spherica...
The aim of this paper is to prove a blow-up result of the solution for a semilinear scale invariant ...
The aim of this paper is to prove a blow-up result of the solution for a semilinear scale invariant ...
AbstractThis paper deals with the asymptotic theory of initial value problems for semilinear wave eq...
Abstract In this article, we study the pointwise decay properties of solutions to the wave equation ...
Abstract In this article, we study the pointwise decay properties of solutions to the wave equation ...
We describe in this article two recent results [11], [12], obtained by the author jointly with W. Sc...
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