On the Blow-Up of the Solution of a Problem for the Sobolev Equation with a Noncoercive Source

Author:

Artemeva M. V.,Korpusov M. O.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference4 articles.

1. Artem’eva, M.V. and Korpusov, M.O., Blow-up of solutions and local solvability of an abstract Cauchy problem of second order with a noncoercive source, Comput. Math. Math. Phys., 2023, vol. 63, no. 4, pp. 542–552.

2. Gajewski, H., Gröger, K., and Zacharias, K., Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Berlin: Akademie-Verlag, 1974. Translated under the title: Nelineinye operatornye uravneniya i operatornye differentsial’nye uravneniya, Moscow: Mir, 1978.

3. Al’shin, A.B., Korpusov, M.O., and Sveshnikov, A.G., Blow-up in nonlinear Sobolev type equations, De Gruyter Ser. Nonlinear Anal. Appl., 2011, vol. 15, p. 648.

4. Korpusov, M.O., Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source, Izv. Math., 2020, vol. 84, no. 5, pp. 930–959.

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