The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- 1 July 1978
- journal article
- Published by Springer Nature in Journal of Mathematical Sciences
- Vol. 10 (1) , 53-70
- https://doi.org/10.1007/bf01109723
Abstract
No abstract availableKeywords
This publication has 16 references indexed in Scilit:
- Blow-up theorems for nonlinear wave equationsMathematische Zeitschrift, 1973
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u)Archive for Rational Mechanics and Analysis, 1973
- On some nonexistence and nonuniqueness theorems for nonlinear parabolic equationsPublished by American Mathematical Society (AMS) ,1970
- Linear and Quasi-linear Equations of Parabolic TypePublished by American Mathematical Society (AMS) ,1968
- Stability of nonlinear hyperbolic equationsArchive for Rational Mechanics and Analysis, 1968
- Existence and nonexistence in the large of solutions of quasilinear wave equationsArchive for Rational Mechanics and Analysis, 1967
- Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential EquationsJournal of Mathematical Physics, 1964
- On the growth of solutions of quasi‐linear parabolic equationsCommunications on Pure and Applied Mathematics, 1963
- Exact Solution for the Vibrations of a Nonlinear Continuous Model StringJournal of Mathematical Physics, 1962
- On solutions of nonlinear wave equationsCommunications on Pure and Applied Mathematics, 1957