Équations d'évolution avec non linéarité logarithmique
Thierry Cazenave; Alain Haraux
Annales de la Faculté des sciences de Toulouse : Mathématiques (1980)
- Volume: 2, Issue: 1, page 21-51
- ISSN: 0240-2963
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topCazenave, Thierry, and Haraux, Alain. "Équations d'évolution avec non linéarité logarithmique." Annales de la Faculté des sciences de Toulouse : Mathématiques 2.1 (1980): 21-51. <http://eudml.org/doc/73098>.
@article{Cazenave1980,
author = {Cazenave, Thierry, Haraux, Alain},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {existence; uniqueness; regularity properties; Cauchy problem; potential; Sobolev space; truncation argument; monotonicity property; wave equation; modulus of continuity; evolution equations},
language = {fre},
number = {1},
pages = {21-51},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Équations d'évolution avec non linéarité logarithmique},
url = {http://eudml.org/doc/73098},
volume = {2},
year = {1980},
}
TY - JOUR
AU - Cazenave, Thierry
AU - Haraux, Alain
TI - Équations d'évolution avec non linéarité logarithmique
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1980
PB - UNIVERSITE PAUL SABATIER
VL - 2
IS - 1
SP - 21
EP - 51
LA - fre
KW - existence; uniqueness; regularity properties; Cauchy problem; potential; Sobolev space; truncation argument; monotonicity property; wave equation; modulus of continuity; evolution equations
UR - http://eudml.org/doc/73098
ER -
References
top- [1] J.B. Baillon, T. Cazenave, M. Figueira. «Equation de Schrödinger non linéaire». C.R. Acad. Sc.Paris, 284 (1977) p. 869-872. Zbl0349.35048MR433025
- [2] I. Bialynicki-Birula, J. Mycielski. «Wave Equations with Logarithmic Non-linearities». Bull. Acad. Pol. Sc., XXIII (1975) p. 461-466. MR403458
- [3] I. Bialynicki-Birula, J. Mycielski. «Nonlinear Wave Mechanics». Annals of Physics, 100 (1976) p. 62-93. MR426670
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- [5] H. Brezis, T. Kato. «Remarks on the Schrödinger Operator with Singular Complex Potentials». J. Math. Pures. Appl.58 (1979) p. 137-151. Zbl0408.35025MR539217
- [6] F.E. Browder. «On Non-Linear Wave Equations». Math. Zeitschr.80 (1962) p. 249-264. Zbl0109.32102MR147769
- [7] T. Cazenave. «Equations de Schrödinger Non Linéaires». Proc. Roy. Soc. Edinburgh (1969)84 (1979) p. 327-346. Zbl0428.35021MR559676
- [8] T. Cazenave, A. Haraux. «Equations de Schrödinger avec Non Linéarité Logarithmique». C.R. Acad. Sc.Paris, 288 (1979) p. 253-256. Zbl0406.35013MR524786
- [9] R. Cou Rant, D. Hilbert. «Methods of Mathematical Physics». Volume II, Inter-science Publish.New-York, London (1962). Zbl0099.29504MR65391
- [10] J. Ginibre, G. Velo. «On a class of Non Linear Schrödinger Equations». J. Funct. Anal.32 (1979) p. 1-71. Zbl0396.35028MR533219
- [11] J.L. Lions. «Quelques Méthodes de Résolution de Problèmes aux Limites Non-Linéaires». Gauthier-Villars, Paris (1969). Zbl0189.40603MR259693
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- Ph. Blanchard, J. Stubbe, L. Vázquez, On the stability of solitary waves for classical scalar fields
- Cong Nhan Le, Xuan Truong Le, On the Nehari manifold for a logarithmic fractional Schrödinger equation with possibly vanishing potentials
- Piermarco Cannarsa, Vilmos Komornik, Paola Loreti, Well posedness and control of semilinear wave equations with iterated logarithms
- Enrique Fernández-Cara, Enrique Zuazua, Null and approximate controllability for weakly blowing up semilinear heat equations
- José Luis López, Jesús Montejo–Gámez, On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions
- Makoto Nakamura, Tohru Ozawa, Small data scattering for nonlinear Schrödinger wave and Klein-Gordon equations
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