Add to ORKGWe 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
Some useful and remarkable property are derived from a representation formula of a radially symmetr...
AbstractThe first initial-boundary value problem is considered for the damped semilinear wave equati...
This work addresses the mathematical analysis, by means of asymptotic analysis, of linear wave propa...
We present a scaling technique which transforms the evolution problem for a nonlinear wave equation ...
We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperboli...
We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperboli...
The evolution of steep waves in the open ocean is nonlinear. In narrow-banded but directionally spre...
AbstractThere are wide classes of nonlinear evolution equations which possess invariant properties w...
We prove the existence and uniqueness of solutions of weakly non-linear wave equations in the region...
For nonlinear wave equations with a potential term we prove pointwise space-time decay estimates and...
Tutorial paper for the SPT98 conference Abstract: The multiscale expansion is shown to be a convenie...
We apply our recently developed scaling technique for obtaining late-time asymptotics to the cubic n...
We apply our recently developed scaling technique for obtaining late-time asymptotics to the cubic n...
The Cauchy problems of scale-invariant damped wave equations with derivative nonlinear terms and wit...
This book mainly serves as an elementary, self-contained introduction to several important aspects o...
Some useful and remarkable property are derived from a representation formula of a radially symmetr...
AbstractThe first initial-boundary value problem is considered for the damped semilinear wave equati...
This work addresses the mathematical analysis, by means of asymptotic analysis, of linear wave propa...
We present a scaling technique which transforms the evolution problem for a nonlinear wave equation ...
We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperboli...
We formulate a multi-scale perturbation technique to asymptotically solve weakly nonlinear hyperboli...
The evolution of steep waves in the open ocean is nonlinear. In narrow-banded but directionally spre...
AbstractThere are wide classes of nonlinear evolution equations which possess invariant properties w...
We prove the existence and uniqueness of solutions of weakly non-linear wave equations in the region...
For nonlinear wave equations with a potential term we prove pointwise space-time decay estimates and...
Tutorial paper for the SPT98 conference Abstract: The multiscale expansion is shown to be a convenie...
We apply our recently developed scaling technique for obtaining late-time asymptotics to the cubic n...
We apply our recently developed scaling technique for obtaining late-time asymptotics to the cubic n...
The Cauchy problems of scale-invariant damped wave equations with derivative nonlinear terms and wit...
This book mainly serves as an elementary, self-contained introduction to several important aspects o...
Some useful and remarkable property are derived from a representation formula of a radially symmetr...
AbstractThe first initial-boundary value problem is considered for the damped semilinear wave equati...
This work addresses the mathematical analysis, by means of asymptotic analysis, of linear wave propa...