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On a class of multitime evolution equations with nonlocal initial conditions. (English) Zbl 1163.35338

Summary: The existence and uniqueness of the strong solution for a multitime evolution equation with nonlocal initial conditions are proved. The proof is essentially based on a priori estimates and on the density of the range of the operator generated by the considered problem.

MSC:

35G10 Initial value problems for linear higher-order PDEs
34G10 Linear differential equations in abstract spaces
35B45 A priori estimates in context of PDEs
47N20 Applications of operator theory to differential and integral equations
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