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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 1, Pages 143–159 (Mi smj1154)  
This article is cited in 1 scientific paper (total in 1 paper)

Absence of solutions to higher-order evolution differential inequalities

G. G. Laptev

Tula State University
Full-text PDF (253 kB) Citations (1)
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Abstract: Sufficient conditions are given for absence of global solutions to semilinear evolution differential equations and inequalities of higher order (in the time variable). These results generalize the well-known assertions for parabolic and hyperbolic equations. The proofs base on the test function method by Veron, Mitidieri, Pokhozhaev, and Tesei.
Keywords: global solution, differential inequality, absence of solutions.
Received: 02.04.2001
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 1, Pages 117–131
DOI: https://doi.org/10.1023/A:1022072522673
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: G. G. Laptev, “Absence of solutions to higher-order evolution differential inequalities”, Sibirsk. Mat. Zh., 44:1 (2003), 143–159; Siberian Math. J., 44:1 (2003), 117–131
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\issue 1
\pages 117--131
\crossref{https://doi.org/10.1023/A:1022072522673}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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