On absence of global solutions of quasilinear differential-convolutional inequalities

From a unique viewpoint, elliptic and parabolic second-order inequalities with quasilinear KPZ-type terms and nonlocal convolutional terms arising in the description of reaction–diffusion processes, neural networks, and nonlocal phase transitions are investigated. Sufficient conditions of the absence of their global solutions, i.e. necessary conditions of their global solvability, are found. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.

Authors
Language
English
Status
Published
Year
2019
Organizations
  • 1 JSC Concern ‘Sozvezdie’, Voronezh, Russian Federation
  • 2 Nikol'skii Mathematical Institute of Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
Keywords
34K38; 35A01; convolutional terms; global solutions; nonexistence; nonlocal terms; Quasilinear inequalities; V. Volpert
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38804/
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