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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive
Zh. Mat. Fiz. Anal. Geom., 2007 Volume 3, Number 4, Pages 468–489 (Mi jmag76)
On trace regularity of solutions to a wave equation with homogeneous Neumann boundary conditions

I. A. Ryzhkova

Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine

Abstract: We prove an additional regularity of time derivative of the trace of solution to the wave equation on the 3D half space with the homogeneous Neumann boundary conditions.

Key words and phrases: wave equation, boundary trace regularity.

MSC: 35L05, 35B65

Received: 31.01.2007

Language: English



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