| Title:
|
Mixed problem for semilinear hyperbolic equation of second order with Dirichlet boundary condition (English) |
| Author:
|
Doktor, Alexander |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
23 |
| Issue:
|
1 |
| Year:
|
1973 |
| Pages:
|
95-122 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
35L20 |
| idZBL:
|
Zbl 0255.35061 |
| idMR:
|
MR0348276 |
| DOI:
|
10.21136/CMJ.1973.101149 |
| . |
| Date available:
|
2008-06-09T14:00:23Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101149 |
| . |
| Reference:
|
[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 1225.70002 |
| Reference:
|
[2] В. Э. Аболиня А. Д. Мышкис: Смешанная задача для почти линейной гиперболической системы на плоскости.Матем. Сборник 50 (1960), 423-442. Zbl 1225.94001, MR 0111939 |
| Reference:
|
[3] R. Courant: Partial Differential Equations.(Russian) Moskva 1964. Zbl 0121.07801, MR 0180738 |
| Reference:
|
[4] M. Ikawa: Mixed problem for hyperbolic equation of second order.J. Math. Soc. Japan 20 (1968), 580-608. MR 0233077, 10.2969/jmsj/02040580 |
| Reference:
|
[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. MR 0277890, 10.2977/prims/1195194627 |
| Reference:
|
[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 0277894 |
| Reference:
|
[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 0283395 |
| Reference:
|
[8] H.-O. Kreiss: Initial Boundary Value Problems for Hyperbolic Systems.Comm. Pure Appl. Math. 9 23 (1970), 277-298. Zbl 0215.16801, MR 0437941, 10.1002/cpa.3160230304 |
| Reference:
|
[9] O. A. Ладыжeнcкая: Смешанная задача для гиперболического уравнения.Москва 1953. |
| Reference:
|
[10] S. Mizohata: Lectures on the Cauchy Problem.Tata Institute of Fundamental Research, Bombay 1965. MR 0219881 |
| Reference:
|
[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 0390442 |
| Reference:
|
[12] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia Praha 1967. MR 0227584 |
| Reference:
|
[13] Б. Л. Рождественский H. H. Яненко: Системы квазилинейных уравнений.Москва 1968. Zbl 1236.41005 |
| Reference:
|
[14] R. Sakamoto: Mixed Problems for Hyperbolic Equations I. Energy Inequalities.J. Math. Kyoto Univ. 10 (1970), 349-373. Zbl 0203.10001, MR 0283400, 10.1215/kjm/1250523767 |
| Reference:
|
[15] R. Sakamoto: Mixed Problems for Hyperbolic Equations II.J. Math. Kyoto Univ. 10 (1970), 403-417. Zbl 0206.40101, MR 0283401, 10.1215/kjm/1250523767 |
| Reference:
|
[16] R. Sakamoto: Iterated Hyperbolic Mixed Problems.Publ. RIMS Kyoto Univ. 6 (1970), 1-42. Zbl 0225.35065, MR 0412622, 10.2977/prims/1195194186 |
| Reference:
|
[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. Zbl 0141.28803, MR 0196301 |
| Reference:
|
[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. Zbl 0141.28802, MR 0197965, 10.1007/BF00285421 |
| Reference:
|
[19] С Л. Соболев: Некоторые пнименения функционального анализа в математической физике.Новосибирск 1962. Zbl 1005.68507 |
| . |
