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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2012 Volume 92, Issue 3, Pages 368–380 (Mi mzm8968)
On a Nonlinear Scattering Model

E. I. Galakhov

Peoples Friendship University of Russia, Moscow

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.

UDC: 517.9

Received: 15.10.2010

DOI: 10.4213/mzm8968


 English version: Mathematical Notes, 2012, 92:3, 333–344

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© Steklov Math. Inst. of RAS, 2025