Repositorio
Institucional

Munoz, Claudio

Poblete, Felipe#Pozo, Juan C.

Scattering in the Energy Space for Boussinesq Equations

SPRINGER

COMMUNICATIONS IN MATHEMATICAL PHYSICS

en

In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity, strongly on slightly proper subsets of the space-time light cone. Our result does not require any assumption on the power of the nonlinearity, working even for the supercritical range of scattering. For the proof, we use two new Virial identities in the spirit of works (Kowalczyk et al. in J Am Math Soc 30:769-798, 2017, Kowalczyk et al. in Lett Math Phys 107(5):921-931, 2017). No parity assumption on the initial data is needed.

Artículo original

C.M. work was partly funded by Chilean research Grants FONDECYT 1150202, Fondo Basal CMM-Chile, MathAmSud EEQUADD and Millennium Nucleus Center for Analysis of PDE NC130017., F.P. is partially supported by Chilean research Grant FONDECYT 1170466 and DID S-2017-43 (UACh)., J.C. Pozo is partially supported by Chilean research Grant FONDECYT 11160295.

El trabajo de C.M. fue financiado en parte por las becas de investigación chilenas FONDECYT 1150202, Fondo Basal CMM-Chile, MathAmSud EEQUADD y Núcleo Milenio Centro de Análisis de PDE NC130017., F.P. es parcialmente financiado por las becas de investigación chilenas FONDECYT 1170466 y DID S-2017-43 (UACh)., J.C. Pozo es parcialmente financiado por las becas de investigación chilenas FONDECYT 11160295.

10.1007/s00220-018-3099-7

pdf

http://dx.doi.org/10.1007/s00220-018-3099-7

Physics, Mathematical

Matemáticas Puras

Matemáticas Aplicadas

Otras Especialidades de la Física

WOS:000438260100004

Scattering in the Energy Space for Boussinesq Equations

https://doi.org/10.48550/arXiv.1707.02616

Artículo original

version publicada

SPRINGER

COMMUNICATIONS IN MATHEMATICAL PHYSICS

Física, Matemáticas

0010-3616

en

ANID FONDECYT 1150202#MathAmSud EEQUADD and Millennium Nucleus Center for Analysis PDE NC130017#ANID FONDECYT 1170466#UACH DID S-2017-43#ANID FONDECYT 11160295

ANID FONDECYT 1150202

ANID FONDECYT 1170466

ANID DID S-2017-43

ANID FONDECYT 11160295

Fondo Basal CMM-Chile

MathAmSud EEQUADD

Millennium Nucleus Center for Analysis of PDE NC130017

C.M. work was partly funded by Chilean research Grants FONDECYT 1150202, Fondo Basal CMM-Chile, MathAmSud EEQUADD and Millennium Nucleus Center for Analysis of PDE NC130017., F.P. is partially supported by Chilean research Grant FONDECYT 1170466 and DID S-2017-43 (UACh)., J.C. Pozo is partially supported by Chilean research Grant FONDECYT 11160295.

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