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Matematicheskie Zametki, 2012, Volume 92, Issue 3, Pages 368–380
DOI: https://doi.org/10.4213/mzm8968 (Mi mzm8968) 		 
On a Nonlinear Scattering Model

E. I. Galakhov

Peoples Friendship University of Russia, Moscow
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DOI: https://doi.org/10.4213/mzm8968
Abstract: We obtain conditions for the existence and blow-up of global solutions of systems of nonlinear wave equations with compactly supported initial data and critical nonlinearities arising from the scattering theory of electromagnetic waves.
Keywords: nonlinear scattering, semilinear wave equation, Cauchy problem, Radon transform, Strauss conjecture, critical hyperbola, Hölder continuity.
Received: 15.10.2010
English version:
Mathematical Notes, 2012, Volume 92, Issue 3, Pages 333–344
DOI: https://doi.org/10.1134/S0001434612090052
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. I. Galakhov, “On a Nonlinear Scattering Model”, Mat. Zametki, 92:3 (2012), 368–380; Math. Notes, 92:3 (2012), 333–344
Citation in format AMSBIB
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