Geodesic
Blowup in a finite time of the solution to the initial-boundary value problem for a semilinear composite type equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 11, pp. 1716-1724 Cet article a éte moissonné depuis la source Math-Net.Ru

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M. O. Korpusov; A. G. Sveshnikov. Blowup in a finite time of the solution to the initial-boundary value problem for a semilinear composite type equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 11, pp. 1716-1724. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_11_a11/

[1] Rabotnov Yu. N., Mekhanika deformiruemogo tverdogo tela, Nauka, M., 1988 | Zbl

[2] Rabotnov Yu. N., Polzuchest elementov konstruktsii, Nauka, M., 1967

[3] Samarskii A. A., Galaktionov V. A., Kurdyumov S. P., Mikhailov A. P., Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uravnenii, Nauka, M., 1987 | MR

[4] Levine H. A., “Some nonexistence and instability theorems for solutions of formally parabolic equations of the form $Pu_t=-Au+F(u)$”, Arch. Ration. Mech. and Analys., 51 (1973), 371–386 | MR | Zbl

[5] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967

[6] Kaplan S., “On the growth of solutions of quasi-linear parabolic equations”, Communs Pure and Appl. Math., 16 (1963), 305–330 | DOI | MR | Zbl

[7] Gabov C. A., Sveshnikov A. G., Lineinye zadachi teorii nestatsionarnykh vnutrennikh voln, Nauka, M., 1990 | MR

[8] Pletner Yu. D., “Fundamentalnye resheniya operatorov tipa Soboleva i nekotorye nachalno-kraevye zadachi”, Zh. vychisl. matem. i matem. fiz., 32:12 (1992), 1885–1899 | MR | Zbl

[9] Pyatkov S. G., “Kraevye zadachi dlya nekotorykh uravnenii i sistem, voznikayuschikh v teorii elektricheskikh tsepei”, Aktualnye vopr. sovrem. matem., 1, Novosibirsk, 1995, 121–133 | MR | Zbl

[10] Guowang C., Shubin W., “Existence and non-existence of global solutions for nonlinear hyperbolic equations of higher order”, Comment. Math. Univ. Carolinae, 36:3 (1995), 475–487 | MR | Zbl

[11] Fujita H., “On the blowing up of solutions to the Cauchy problem for $u_t=\Delta u+u^{1+\alpha}$”, J. Fac. Univ. Tokyo Sect. IA, 13 (1966), 109–124 | MR | Zbl

[12] Lionc Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR

[13] Atann H., Fila M., “A Fujita-type theorem for the Laplace equation with a dynamical boundary condition”, Acta. Math. Univ. Comenianae, 66:2 (1997), 321–328 | MR

[14] Pokhozhaev S. I., “O sobstvennykh funktsiyakh uravneniya $\Delta u+\lambda f(u)=0$”, Dokl. AN SSSR, 165:1 (1965), 36–39 | Zbl

[15] Rossi J. D., “The blow-up rate for a semilinear parabolic equation with a nonlinear boundary condition”, Acta. Math. Univ. Comenianae, 67:2 (1998), 343–350 | MR | Zbl