Decay estimates for the double dispersion equation with initial data in real Hardy spaces View Full Text


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Article Info

DATE

2019-03-02

AUTHORS

Marcello D’Abbicco, Alessandra De Luca

ABSTRACT

We study the Cauchy problem for the linear double dispersion equation utt-Δutt+Δ2u-Δu-Δut=0,t≥0,x∈Rnand we derive long time decay estimates for the solution in Lp spaces and in real Hardy spaces. We employ the obtained results to study the equation with nonlinearity Δf(u) and nonsmooth f.

PAGES

1-24

References to SciGraph publications

  • 1972-12. Hp spaces of several variables in ACTA MATHEMATICA
  • 2016-06. Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation in JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
  • 2003-07. Lp-Lq estimates of solutions to the damped wave equation in 3-dimensional space and their application in MATHEMATISCHE ZEITSCHRIFT
  • 1994. Nonlinear Waves in Solids in NONE
  • 2017-02. Choquard equations under confining external potentials in NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS NODEA
  • Author Affiliations

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    http://scigraph.springernature.com/pub.10.1007/s11868-019-00287-1

    DOI

    http://dx.doi.org/10.1007/s11868-019-00287-1

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    https://app.dimensions.ai/details/publication/pub.1112503064


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