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On an abstract Euler-Poisson-Darboux type equations

A. Chaoui, A. Guezane-Lakoud


We consider a Cauchy problem for a second-order differential equation of Euler-Poisson-Darboux type. The existence, uniqueness and continuous dependence of the strong generalized solution are proved. The proofs are based on an a priori estimate established in appropriate function spaces and on the density of the range of the operator corresponding to the considered problem.


Euler Poisson Darboux equations, strong solution, a priori estimate, functional equations

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