Solution of the Cauchy problem by means of weighted approximations of exponents by polynomials

DOI10.1007/BF01076723zbMath0556.35009MaRDI QIDQ761627

Anatoli V. Babin

Publication date: 1983

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

regularityHilbert spaceselfadjoint operatorCauchy problemspolynomial representationsapproximation formulasweighted approximation of functions on the line

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Series solutions to PDEs (35C10) Theoretical approximation in context of PDEs (35A35) Initial value problems for higher-order parabolic equations (35K30) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (1)

Approximate solutions of one abstract Cauchy problem

Cites Work

• ON THE EXPRESSION OF A SOLUTION OF THE EQUATIONAu = hIN TERMS OF ITERATIONS OF THE UNBOUNDED OPERATORA, AND THE WEIGHTED APPROXIMATION OF FUNCTIONS

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