Distributional solution of a wave equation

• Autorzy: Wiciak M.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to present the method of deriving the formula for a solution of the wave equation. We deal with the case when external forces are distribution-valued functions, which is e.g. the case of a quasi - point source. Also the solution is understood as a distribution-valued function.

• Wydawca: Polskie Towarzystwo Akustyczne. Oddział Gdański
• Czasopismo: Hydroacoustics
• Rocznik: 2001
• Tom: Vol. 4
• Strony: 249--252
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Wiciak M.

• Cracow University of Technology Institute of Mathematics, Ul. Warszawska 24 31-155 Kraków, Poland

Bibliografia

• 1. K. HolIy, Absolutely continuous distribution valued curves, IageIl.Acta Math., in publishing.
• 2. H. Lasota, Pressure and VeLocity Spherical Waves, Acustica 79, 135-140, (1993).
• 3. M. Jessel, Acoustique theorique, Masson et Cie, Paris, 1973.
• 4. R. Makarewicz, Sound in Environment, OWN, Poznan 1994 (in Polish).
• 5. W. Rudin, Functional analysis, McGraw-Hill, New York 1973.
• 6. L. Schwartz, Theorie des distributions, Paris 1957-59.
• 7. S.L. Sobolev, Methode nouvelle a resoundre Le probleme de Cauchy pour les equations lineaires hyperboliques, Mat. Sb. 1 (43) (1936), 39-71.
• 8. M. Wiciak, Distributional solutions oj differential equations, Ph.D. Thesis, lagell. Univ., 1998.