I. A. Ryzhkova, “On trace regularity of solutions to a wave equation with homogeneous Neumann boundary conditions”, Журн. матем. физ., анал., геом., 2007, том 3, номер 4,страницы 468

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

Аннотация: 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.

Ключевые слова и фразы: wave equation, boundary trace regularity.

MSC: 35L05, 35B65

Поступила в редакцию: 31.01.2007

Язык публикации: английский