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Estimation for Solutions of Ill-Posed Cauchy Problems of Differential Equation with Pseudo-Differential Operators

Estimation for Solutions of Ill-Posed Cauchy Problems of Differential Equation with Pseudo-Differential Operators

Year:    1984

Journal of Computational Mathematics, Vol. 2 (1984), Iss. 1 : pp. 10–23

Abstract

The estimation for solutions for the ill-posed Cauchy problems of the differential equation du(t)dt=A(t)u(t)+N(t)u(t),t(0,1) is discussed, where A(t) is a 2-nd order p.d.o. and N(t) is a uniformly bounded hH linear operator. Two estimates of ||u(t)|| are obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1984-JCM-9635

Journal of Computational Mathematics, Vol. 2 (1984), Iss. 1 : pp. 10–23

Published online:    1984-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords: