Mixed problem for semilinear hyperbolic equation of second order with Dirichlet boundary condition
Czechoslovak Mathematical Journal, Tome 23 (1973) no. 1, pp. 95-122
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1973.101149
Classification : 35L20
@article{10_21136_CMJ_1973_101149,
     author = {Doktor, Alexander},
     title = {Mixed problem for semilinear hyperbolic equation of second order with {Dirichlet} boundary condition},
     journal = {Czechoslovak Mathematical Journal},
     pages = {95--122},
     year = {1973},
     volume = {23},
     number = {1},
     doi = {10.21136/CMJ.1973.101149},
     mrnumber = {0348276},
     zbl = {0255.35061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1973.101149/}
}
TY  - JOUR
AU  - Doktor, Alexander
TI  - Mixed problem for semilinear hyperbolic equation of second order with Dirichlet boundary condition
JO  - Czechoslovak Mathematical Journal
PY  - 1973
SP  - 95
EP  - 122
VL  - 23
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1973.101149/
DO  - 10.21136/CMJ.1973.101149
LA  - en
ID  - 10_21136_CMJ_1973_101149
ER  - 
%0 Journal Article
%A Doktor, Alexander
%T Mixed problem for semilinear hyperbolic equation of second order with Dirichlet boundary condition
%J Czechoslovak Mathematical Journal
%D 1973
%P 95-122
%V 23
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1973.101149/
%R 10.21136/CMJ.1973.101149
%G en
%F 10_21136_CMJ_1973_101149
Doktor, Alexander. Mixed problem for semilinear hyperbolic equation of second order with Dirichlet boundary condition. Czechoslovak Mathematical Journal, Tome 23 (1973) no. 1, pp. 95-122. doi: 10.21136/CMJ.1973.101149

[1] B. Э. Аболиня A. Д. Мышкис: О смешанной задаче для линейной гиперболической системы на плоскости. Уч. зап. Латвии, гос. унив. XX (1958), 87-104. | Zbl

[2] В. Э. Аболиня А. Д. Мышкис: Смешанная задача для почти линейной гиперболической системы на плоскости. Матем. Сборник 50 (1960), 423-442. | MR | Zbl

[3] R. Courant: Partial Differential Equations. (Russian) Moskva 1964. | MR | Zbl

[4] M. Ikawa: Mixed problem for hyperbolic equation of second order. J. Math. Soc. Japan 20 (1968), 580-608. | DOI | MR

[5] M. Ikawa: A Mixed Problem for Hyperbolic Equation of Second Order with a First Order Derivative Boundary Condition. Publ. RIMS Kyoto Univ. 5 (1969), 119-147. | DOI | MR

[6] M. Ikawa: A Mixed Problem for Hyperbolic Equation of Second Order with Non-homogeneous Neumann Type Boundary Condition. Osaka J. Math. 6 (1969), 339-374. | MR

[7] M. Ikawa: On the Mixed Problem for Hyperbolic Equation of Second Order with the Neumann Boundary Condition. Osaka J. Math. 7 (1970), 203 - 223. | MR

[8] H.-O. Kreiss: Initial Boundary Value Problems for Hyperbolic Systems. Comm. Pure Appl. Math. 9 23 (1970), 277-298. | DOI | MR | Zbl

[9] O. A. Ладыжeнcкая: Смешанная задача для гиперболического уравнения. Москва 1953.

[10] S. Mizohata: Lectures on the Cauchy Problem. Tata Institute of Fundamental Research, Bombay 1965. | MR

[11] S. Mizohata: Quelques problèmes au bord, du type mixte, pour des équations hyperboliques. Séminaire sur les équations aux dérivées partielles. Collége de France (1966-67), 23-60. | MR

[12] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia Praha 1967. | MR

[13] Б. Л. Рождественский H. H. Яненко: Системы квазилинейных уравнений. Москва 1968. | Zbl

[14] R. Sakamoto: Mixed Problems for Hyperbolic Equations I. Energy Inequalities. J. Math. Kyoto Univ. 10 (1970), 349-373. | DOI | MR | Zbl

[15] R. Sakamoto: Mixed Problems for Hyperbolic Equations II. J. Math. Kyoto Univ. 10 (1970), 403-417. | DOI | MR | Zbl

[16] R. Sakamoto: Iterated Hyperbolic Mixed Problems. Publ. RIMS Kyoto Univ. 6 (1970), 1-42. | DOI | MR | Zbl

[17] J. Sather: The initial-boundary value problem for a non-linear hyperbolic equation in relativistic quantum mechanics. J. Math. Mech. vol. 16, 1966/1, 27-50. | MR | Zbl

[18] J. Sather: The existence of a Global Classical Solution of the Initial-Boundary Value Problem for $\square u+u\sp{3}=f$. Arch. Rat. Mech. Anal. 22 (1966), 292-307. | DOI | MR | Zbl

[19] С Л. Соболев: Некоторые пнименения функционального анализа в математической физике. Новосибирск 1962. | Zbl

Cité par Sources :