CAUCHY PROBLEMS WITH MODIFIED CONDITIONS
FOR THE EULER-POISSON-DARBOUX EQUATIONS
IN THE SPHERICAL SPACE
Cheikh Ould Mohamed El-Hafedh1, Elbar Ould Ely Telmoudy2, Mohamed Vall Ould Moustapha3
Universit\'e des Sciences, de Technologie et de M\'edecine (USTM)
Facult\'e des Sciences et Techniques
D\'epartement de Math\'ematiques et Informatique
Unit\'e de Recherche: {Analyse, EDP et Mod\'elisation (AEDPM)}
B.P.: 5026, Nouakchott, MAURITANIE
Abstract. In this note we give the solutions of the Cauchy problems for the Euler-Poisson-Darboux equations (EPD) with modified conditions in the spherical space with application to the wave equation.
AMS Subject classification: 35QO5, 35L15, 58J45
Keywords and phrases: Cauchy problem, Euler Poisson-Darboux equations, wave equation, Bessel functions, spherical space


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DOI: 10.12732/ijam.v27i3.3

Volume: 27
Issue: 3
Year: 2014