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Matematicheskie Zametki, 2006, Volume 80, Issue 4, Pages 582–595
DOI: https://doi.org/10.4213/mzm2851 (Mi mzm2851) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Unique solvability of pseudohyperbolic equations with singular right-hand sides

D. A. Nomirovskii

National Taras Shevchenko University of Kyiv
Full-text PDF (450 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm2851
Abstract: In this paper, we consider the solvability of the Cauchy problem for pseudohyperbolic equations (partial differential equations of third order). For the case in which the right-hand side is a generalized function (distribution) of finite order, we establish a theorem on the unique solvability for a sufficiently general pseudohyperbolic operator. The method of proof is based on a specially constructed “scale” of a priori inequalities for the direct and adjoint operators.
Received: 18.02.2004
Revised: 13.12.2005
English version:
Mathematical Notes, 2006, Volume 80, Issue 4, Pages 550–562
DOI: https://doi.org/10.1007/s11006-006-0174-8
Bibliographic databases:
UDC: 517.956.6
Language: Russian
Citation: D. A. Nomirovskii, “Unique solvability of pseudohyperbolic equations with singular right-hand sides”, Mat. Zametki, 80:4 (2006), 582–595; Math. Notes, 80:4 (2006), 550–562
Citation in format AMSBIB
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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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    		Математические заметки Mathematical Notes
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