Regularization for a class of ill-posed Cauchy problems

By Yongzhong Huang, Q. Zheng. 2005

50 citations recorded by the source corpus.

This paper is concerned with the ill-posed Cauchy problem associated with a densely defined linear operator A in a Banach space. Our main result is that if -A is the generator of an analytic semigroup of angle > π/4, then there exists a family of regularizing operators for such an ill-posed Cauchy problem by using the Gajewski and Zacharias quasi-reversibility method, and semigroups of linear operators.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/62be16ffcf19598858c5aa10e42121ce8cd76745

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In Applied Mathematics

1. Huy Tuan Nguyen
2. Duc Trong Dang

In Computational Theory and Mathematics

1. Huy Tuan Nguyen
2. Duc Trong Dang

In Mathematical Physics

1. Huy Tuan Nguyen
2. Duc Trong Dang

Citations in the corpus

• REGULARIZATION AND ERROR ESTIMATES FOR NONHOMOGENEOUS BACKWARD HEAT PROBLEMS (2006, result): “Our results generalize many results in previous papers; see for example [1, 2, 3, 4, 5, 9, 8, 17].”