Unique solvability of the cauchy problem for certain quasilinear pseudoparabolic equations

Mathematical Notes

Volumn 60, Issue 3, 1996, Pages 264-268

  Gladkov, A L ^a  

^a Vitebsk State University   (Belarus)

Author keywords

Cauchy problem; Growth conditions; Pseudoparabolic equations; Quasilinear equations; Uniqueness theorem

Indexed keywords

EID: 29244479542     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02320362     Document Type: Article

References (3)

1. V. D. Gilcv, Solution of the Generalized Boussincsq Equation in the Theory of Filtration of Fluid with a Free Surface [in Russian], Kandidat thesis in the physico-mathematical sciences, Moscow (1979).
2. V. Z. Furaev, Solvability of Boundary Value Problems and of the Cauchy problem for the Generalized Boussinesq Equation in the Theory of Nonstationary Filtration [in Russian], Kandidat thesis in the physico-mathematical sciences, Moscow (1983).
3. A. L. Gladkov, "The Cauchy problem in classes of increasing functions for some nonlinear pseudoparabolic equations," Differcntsia′ nyc Uravneniya [Differential Equations], 24, No. 2, 277-288 (1988).