Document Zbl 0863.46014

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On some function spaces that appear in applied mathematics. (English) Zbl 0863.46014

Mat. Vesn. 48, No. 1-2, 51-57 (1996).

The author investigates interpolation properties of function spaces generated by the eigenfunction of a differential operator and their connection with Sobolev spaces. The obtained results are applied to the solution of the first initial boundary value problem for homogeneous hyperbolic equations in Sobolev spaces of fractional order.

Reviewer: Boško S.Jovanović

MSC:

46B70	Interpolation between normed linear spaces
46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Keywords:

interpolation of function spaces; Sobolev spaces; initial boundary value problems

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