Accesso libero

Mixed problem for degenerate nonlinear ultraparabolic equation

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications 2008
INFORMAZIONI SU QUESTO ARTICOLO

Cita

[1] CODDINGTON, E. A.-LEVINSON, N.: Theory of Ordinary Differential Equations. Izd. Inostr. Lit., Moskva, 1958. (In Russian)Search in Google Scholar

[2] IVASYSHEN, S. D.-MEDYNSKY, I. P.: The Cauchy problem for _ 2b parabolic systemswith a degeneration on the initial hyperplane, Mat. Metodi Fiz.-Mekh. Polya 46 (2003), No. 3, 15-24.Search in Google Scholar

[3] KALASHNIKOV, A. S.: Some properties of qualitative theory of nonlinear degenerateparabolic equations of the second order, Uspekhi Mat. Nauk 42 (1987), No. 2, 135-176.Search in Google Scholar

[4] LAVRENYUK, S. P.: An almost-everywhere solution to a mixed problem for one degeneratelinear evolution system, Sibirsk. Mat. Zh. 42 (2001), No. 1, 76-86.Search in Google Scholar

[5] LAVRENYUK, S. P.: Mixed problem for a strongly degenerate evolution system, Differ. Equ. 30 (1994), No. 8, 1303-1309.Search in Google Scholar

[6] LAVRENYUK, S. P.: Problem with modified initial conditions for an evolution systemdegenerating at the initial time, Dopov. Akad. Nauk Ukr. 1993 (1993), No. 6, 12-15.Search in Google Scholar

[7] LAVRENYUK, S.-PROTSAKH, N.: Boundary value problem for nonlinear ultraparabolicequation in unbounded with respect to time variable domain, Tatra Mt. Math. Publ. 38 (2007), 131-146.Search in Google Scholar

[8] LIONS, J. L.: Quelques M´ethodes de R´esolution des Probl´emes aux Limites Non Lin´eaires. Dunod, Gauthier-Villars, Paris, 1969. (In Russian Mir, Moskva, 1972.)Search in Google Scholar

[9] PROTSAKH, N.: Existence of solution for one degenerated evolution system, Visnik L’viv. Univ. Ser. Mekh. Mat. 54 (1999), 159-170.Search in Google Scholar

[10] PROTSAKH, N.: Internal smoothness of the solution of the mixed problem for the evolutionalsystem with degeneration, Visnik L’viv. Univ. Ser. Mekh. Mat. 56 (2000), 157-169.Search in Google Scholar

ISSN:
1210-3195
Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Mathematics, General Mathematics