Global time estimates for solutions to equations of dissipative type

Michael Ruzhansky[1]; James Smith[1]

  • [1] Department of Mathematics Imperial College London 180 Queens’s Gate London SW7 2AZ United Kingdom

Journées Équations aux dérivées partielles (2005)

  • page 1-29
  • ISSN: 0752-0360

Abstract

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Global time estimates of L p - L q norms of solutions to general strictly hyperbolic partial differential equations are considered. The case of special interest in this paper are equations exhibiting the dissipative behaviour. Results are applied to discuss time decay estimates for Fokker-Planck equations and for wave type equations with negative mass.

How to cite

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Ruzhansky, Michael, and Smith, James. "Global time estimates for solutions to equations of dissipative type." Journées Équations aux dérivées partielles (2005): 1-29. <http://eudml.org/doc/10603>.

@article{Ruzhansky2005,
abstract = {Global time estimates of $L^p-L^q$ norms of solutions to general strictly hyperbolic partial differential equations are considered. The case of special interest in this paper are equations exhibiting the dissipative behaviour. Results are applied to discuss time decay estimates for Fokker-Planck equations and for wave type equations with negative mass.},
affiliation = {Department of Mathematics Imperial College London 180 Queens’s Gate London SW7 2AZ United Kingdom; Department of Mathematics Imperial College London 180 Queens’s Gate London SW7 2AZ United Kingdom},
author = {Ruzhansky, Michael, Smith, James},
journal = {Journées Équations aux dérivées partielles},
keywords = {hyperbolic equations; time decay; Strichartz estimates; Fokker-Planck equation; strictly hyperbolic equations; Strichartz estimates time; decay estimates; stationary phase method; Fokker-Planck equations},
language = {eng},
month = {6},
pages = {1-29},
publisher = {Groupement de recherche 2434 du CNRS},
title = {Global time estimates for solutions to equations of dissipative type},
url = {http://eudml.org/doc/10603},
year = {2005},
}

TY - JOUR
AU - Ruzhansky, Michael
AU - Smith, James
TI - Global time estimates for solutions to equations of dissipative type
JO - Journées Équations aux dérivées partielles
DA - 2005/6//
PB - Groupement de recherche 2434 du CNRS
SP - 1
EP - 29
AB - Global time estimates of $L^p-L^q$ norms of solutions to general strictly hyperbolic partial differential equations are considered. The case of special interest in this paper are equations exhibiting the dissipative behaviour. Results are applied to discuss time decay estimates for Fokker-Planck equations and for wave type equations with negative mass.
LA - eng
KW - hyperbolic equations; time decay; Strichartz estimates; Fokker-Planck equation; strictly hyperbolic equations; Strichartz estimates time; decay estimates; stationary phase method; Fokker-Planck equations
UR - http://eudml.org/doc/10603
ER -

References

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