Hidden regularity for semilinear hyperbolic partial differential equations

M. Milla Miranda; L.A. Medeiros

Annales de la Faculté des sciences de Toulouse : Mathématiques (1988)

  • Volume: 9, Issue: 1, page 103-120
  • ISSN: 0240-2963

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Milla Miranda, M., and Medeiros, L.A.. "Hidden regularity for semilinear hyperbolic partial differential equations." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.1 (1988): 103-120. <http://eudml.org/doc/73215>.

@article{MillaMiranda1988,
author = {Milla Miranda, M., Medeiros, L.A.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {hidden regularity; nonlinear wave equation; trace; normal derivative; Sobolev space; weak solutions},
language = {eng},
number = {1},
pages = {103-120},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Hidden regularity for semilinear hyperbolic partial differential equations},
url = {http://eudml.org/doc/73215},
volume = {9},
year = {1988},
}

TY - JOUR
AU - Milla Miranda, M.
AU - Medeiros, L.A.
TI - Hidden regularity for semilinear hyperbolic partial differential equations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1988
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 1
SP - 103
EP - 120
LA - eng
KW - hidden regularity; nonlinear wave equation; trace; normal derivative; Sobolev space; weak solutions
UR - http://eudml.org/doc/73215
ER -

References

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  1. [1] Cooper ( J.) and Meideros ( L.A.).- The Cauchy problem for nonlinear wave equations in domains with moving boundary, Annali Scuola Norm. Sup. PisaXXVI1972, p. 829-838. Zbl0248.35076MR367459
  2. [2] Kinderlehrer ( D.) and Stampacchia ( G.) .—An Introduction to Variational Inequalities and their Applications, Academic Press, New York, 1980. Zbl0457.35001MR567696
  3. [3] Lions ( J.L.) .— Problemes aux Limites dans les Equations aux Dérivées Partielles, Les Presses de l'Université de Montreal, Montreal, 1965. Zbl0143.14003MR251372
  4. [4] Lions ( J.L.) .— Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod, Paris, 1969. Zbl0189.40603MR259693
  5. [5] Lions ( J.L.) .— Contrôle des Systèmes Distribués singuliers, Gauthiers-Villars, Paris, 1983. Zbl0514.93001MR712486
  6. [6] Lions ( J.L.) .—Hidden regularity in some nonlinear hyperbolic equations, Matemática Aplicada e Computcional, Vol. 6, N° 11987, p. 7-15. Zbl0656.35097MR902998
  7. [7] Lions ( J.L.) and Magenes ( E.) .— Problèmes aux Limites Non Homogènes et Applications, Vol. I, Dunod, Paris, 1968. Zbl0165.10801
  8. [8] Strauss ( W.A.) .— The Energy Method in Nonlinear Partial Differential Equations, Notas de Matemática47, IMPA, Rio de Janeiro, RJ, 1969. Zbl0233.35001MR273170
  9. [9] Strauss ( W.A.) .— On weak solutions of semilinear hyperbolic equations, An. Acad. Bras. Ciências42 (4) 1970, p. 645-651. Zbl0217.13104MR306715

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