On the Nonlinear Wave Equation with Time-periodic Potential
Langue
en
Article de revue
Ce document a été publié dans
International Mathematics Research Notices. 2021-03-16, vol. 2021, n° 6, p. 4301-4323
Oxford University Press (OUP)
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
Mots clés en anglais
time-dependent potential
exponentially increasing energy
no linear wave equation
Origine
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