Locally relatively continuous perturbations of analytic semigroups and their associated evolution equations
Author:
Affiliation:
1. DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE AND ENGINEERING CHUO UNIVERSITY
Publisher
Mathematical Society of Japan (JST)
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/math1924/31/1/31_1_97/_pdf
Reference11 articles.
1. [1] D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag, 1977.
2. [2] D. Henry, Geometric theory of semilinear parabolic equations, Springer-Verlag , 1981.
3. [3] T. Iwamiya, T. Takahashi and S. Oharu, Characterization of non-linearly perturbed semi-groups, Functional analysis and related topics, 1991 (Kyoto), 85-102, Lecture Notes in Math., 1540, Springer, Berlin, 1993.
4. [4] Y. Kobayashi, Difference approximation of Cauchy problems for quassi-dissipative operators and generation of nonlinear semigroups, J. Math. Soc. Japan, 27 (1975), 640-665.
5. [5] R.H. Martin, Jr., S. Oharu and T. Takahashi, Characterization of nonlinearly perturbed analytic semigroups in Banach spaces, in preparation.
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1. Semigroups of locally Lipschitz operators associated with semilinear evolution equations of parabolic type;Nonlinear Analysis: Theory, Methods & Applications;2008-12
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