A parameter dependence problem in parabolic PDES

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volumn 10, Issue 1-3, 2003, Pages 169-179

  He, Min ^a  

^a State University Trumbull Campus ^*  (United States)

Author keywords

C0 semigroup; Cauchy problem; Differetiability; Parabolic partial differential equation; Parameter

Indexed keywords

EID: 4644283466     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (7)

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3. Tosio Kato Perturbation Theory for Linear Operators, 2nd edition, Springer-Verlag, New York (1976)
4. R. Grimmer and M. He Differentiability with Respect to Parameters of Semigroups Semigroup Forum, 59 (1999), 371-333.
5. M. He Differentiability woth Respect to Parameters of Integrated Semigroups, Direct and Indirect roblems of Mathematical Physics, Kluwer Academic Publishers, (2000), 125-136.
6. M. He A Perturbation Theorem and Its Application, Annals of Differential Equations, 15 (1999), 352-361.
7. A. Pazy Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, (1983)