Solutions Globales Régulières pour Quelques Équations Lineaires D'évolution du Type Pseudo-Différentiel Singulier

Gourdin, D.; Kamoun, H.; Ben Khalifa, O.

Serdica Mathematical Journal (2008)

  • Volume: 34, Issue: 2, page 489-508
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 35C15, 35D05, 35D10, 35S10, 35S99.We give here examples of equations of type (1) ∂tt2 y -p(t, Dx) y = 0, where p is a singular pseudo-differential operator with regular global solutions when the Cauchy data are regular, t ∈ R, x ∈ R5.

How to cite

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Gourdin, D., Kamoun, H., and Ben Khalifa, O.. "Solutions Globales Régulières pour Quelques Équations Lineaires D'évolution du Type Pseudo-Différentiel Singulier." Serdica Mathematical Journal 34.2 (2008): 489-508. <http://eudml.org/doc/281409>.

@article{Gourdin2008,
abstract = {2000 Mathematics Subject Classification: 35C15, 35D05, 35D10, 35S10, 35S99.We give here examples of equations of type (1) ∂tt2 y -p(t, Dx) y = 0, where p is a singular pseudo-differential operator with regular global solutions when the Cauchy data are regular, t ∈ R, x ∈ R5.},
author = {Gourdin, D., Kamoun, H., Ben Khalifa, O.},
journal = {Serdica Mathematical Journal},
keywords = {Linear Cauchy Problem; Global Solution; Sobolev Spaces; Integral Kirchhof Solutions; linear Cauchy problem; global solution; Sobolev spaces; integral Kirchhoff solutions},
language = {fre},
number = {2},
pages = {489-508},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Solutions Globales Régulières pour Quelques Équations Lineaires D'évolution du Type Pseudo-Différentiel Singulier},
url = {http://eudml.org/doc/281409},
volume = {34},
year = {2008},
}

TY - JOUR
AU - Gourdin, D.
AU - Kamoun, H.
AU - Ben Khalifa, O.
TI - Solutions Globales Régulières pour Quelques Équations Lineaires D'évolution du Type Pseudo-Différentiel Singulier
JO - Serdica Mathematical Journal
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 2
SP - 489
EP - 508
AB - 2000 Mathematics Subject Classification: 35C15, 35D05, 35D10, 35S10, 35S99.We give here examples of equations of type (1) ∂tt2 y -p(t, Dx) y = 0, where p is a singular pseudo-differential operator with regular global solutions when the Cauchy data are regular, t ∈ R, x ∈ R5.
LA - fre
KW - Linear Cauchy Problem; Global Solution; Sobolev Spaces; Integral Kirchhof Solutions; linear Cauchy problem; global solution; Sobolev spaces; integral Kirchhoff solutions
UR - http://eudml.org/doc/281409
ER -

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