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@article{SEMR_2005_2_a9, author = {M. O. Korpusov and A. G. Sveshnikov}, title = {On a~necessary and sufficient condition for a~blowing up of a~solution to a~mixed boundary problem for a~certain nonlinear equation of {Sobolev} type}, journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a}, pages = {145--155}, publisher = {mathdoc}, volume = {2}, year = {2005}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SEMR_2005_2_a9/} }
TY - JOUR AU - M. O. Korpusov AU - A. G. Sveshnikov TI - On a~necessary and sufficient condition for a~blowing up of a~solution to a~mixed boundary problem for a~certain nonlinear equation of Sobolev type JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2005 SP - 145 EP - 155 VL - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2005_2_a9/ LA - ru ID - SEMR_2005_2_a9 ER -
%0 Journal Article %A M. O. Korpusov %A A. G. Sveshnikov %T On a~necessary and sufficient condition for a~blowing up of a~solution to a~mixed boundary problem for a~certain nonlinear equation of Sobolev type %J Sibirskie èlektronnye matematičeskie izvestiâ %D 2005 %P 145-155 %V 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SEMR_2005_2_a9/ %G ru %F SEMR_2005_2_a9
M. O. Korpusov; A. G. Sveshnikov. On a~necessary and sufficient condition for a~blowing up of a~solution to a~mixed boundary problem for a~certain nonlinear equation of Sobolev type. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 2 (2005), pp. 145-155. http://geodesic.mathdoc.fr/item/SEMR_2005_2_a9/
[1] Korpusov M. O., Sveshnikov A. G., “Trekhmernye nelineinye evolyutsionnye uravneniya psevdoparabolicheskogo tipa v zadachakh matematicheskoi fiziki”, ZhVM i MF, 43:12 (2003), 1835–1869 | MR
[2] Levine H. A., “Some nonexistence and instability theorems for solutions of formally parabolic equations of the form $P_{u_t}=-Au+F(u)$”, Arch. Rational. Mech. Analys., 51 (1973), 371–386 | MR | Zbl
[3] Levine H. A., Park S. R., Serrin J., “Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type”, J. Differential Equations, 142 (1998), 212–229 | DOI | MR | Zbl
[4] Korpusov M. O., Sveshnikov A. G., “O razrushenii reshenii klassa silno nelineinykh volnovykh dissipativnykh uravnenii tipa Soboleva s istochnikami”, Izv. RAN, ser. matem., 69:4 (2005), 89–128 | MR | Zbl
[5] Kozhanov A. I., “Nachalno-kraevaya zadacha dlya uravnenii tipa obobschennogo uravneniya Bussineska s nelineinym istochnikom”, Matem. zametki, 65:1 (1999), 70–75 | MR | Zbl
[6] Shishmarev I. A., “Ob odnom nelineinom uravnenii tipa Soboleva”, Differen. uravn., 41:1 (2005), 138–140 | MR | Zbl
[7] Sobolev S. L., “Ob odnoi novoi zadache matematicheskoi fiziki”, Izvestiya AN SSSR, Ser. mat., 1954, no. 18, 3–50 | MR | Zbl
[8] Demidenko G. V., Uspenskii S. V., Uravneniya i sistemy, ne razreshennye otnositelno starshei proizvodnoi, Nauchnaya kniga, Novosibirsk, 1998 | MR | Zbl
[9] Gabov S. A., Sveshnikov A. G., Lineinye zadachi teorii nestatsionarnykh vnutrennikh voln, Nauka, M., 1990 | MR