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 h−›H 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