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On a Nonlinear Nonlocal Parabolic Problem

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Abstract

We consider the Cauchy problem for a parabolic equation with a Ё-Laplacian or a general second-order quasilinear equation with boundary conditions of the Bitsadze–Samarskii type. We prove that at least one generalized solution of such problem exists.

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Funding

This work is supported by the Ministry of Science and Higher Education of the Russian Federation: agreement no. 075-03-2020-223/3 (FSSF-2020-0018).

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Authors and Affiliations

  1. Federal Research Center “Informatics and Control”, Russian Academy of Science, Moscow, Russia

    O. V. Solonukha

  2. Peoples Friendship University of Russia, Moscow, Russia

    O. V. Solonukha

Authors
  1. O. V. Solonukha
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Correspondence to O. V. Solonukha.

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Solonukha, O.V. On a Nonlinear Nonlocal Parabolic Problem. Russ. J. Math. Phys. 29, 121–140 (2022). https://doi.org/10.1134/S1061920822010125

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  • DOI: https://doi.org/10.1134/S1061920822010125

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