On the Nonlinear Wave Equation with Time-periodic Potential
Language
en
Article de revue
This item was published in
International Mathematics Research Notices. 2021-03-16, vol. 2021, n° 6, p. 4301-4323
Oxford University Press (OUP)
English Abstract
It is known that there exist non-negative potentials q(t, x) with compact support in x for which the Cauchy problem for the linear wave equation with potential q has solutions with exponentially increasing energy. We prove ...Read more >
It is known that there exist non-negative potentials q(t, x) with compact support in x for which the Cauchy problem for the linear wave equation with potential q has solutions with exponentially increasing energy. We prove that if we add a non-linear term the global energy of the solutions is polynomially bounded as t goes to infinity.Read less <
English Keywords
time-dependent potential
exponentially increasing energy
no linear wave equation
Origin
Hal imported