๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

C-semigroups and the abstract Cauchy problem

โœ Scribed by Naoki Tanaka; Isao Miyadera


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
508 KB
Volume
170
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


C-Semigroups and the Cauchy Problem
โœ R. Delaubenfels ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 566 KB
C-Cosine Functions and the Abstract Cauc
โœ Chung-Cheng Kuo; Sen-Yen Shaw ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 225 KB

If A is the generator of an exponentially bounded C-cosine function on a ลฝ . Banach space X, then the abstract Cauchy problem ACP for A has a unique ลฝ . ลฝ . y 1 ลฝ . solution for every pair x, y of initial values from y A C X . The main result is a characterization of the generator of a C-cosine func

C-Cosine Functions and the Abstract Cauc
โœ Chung-Cheng Kuo; Sen-Yen Shaw ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 246 KB

For a bounded linear injection C on a Banach space X and a closed linear ลฝ . ลฝ . operator A : D A ; X ยช X which commutes with C we prove that 1 the ลฝ . ลฝ . ลฝ . ลฝ . abstract Cauchy problem, uะ‰ t s Au t , t g R, u 0 s Cx, uะˆ 0 s Cy, has a ลฝ . ลฝ . ลฝ 2 . unique strong solution for every x, y g D A if an

Evolution Semigroups and Product Formula
โœ Gregor Nickel ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 290 KB

In this paper, we study nonautonomous Cauchy problems for a family of linear operators (A(t)) tโˆˆI on some Banach space X by means of evolution semigroups. In particular, we characterize "stability" in the so called "hyperbolic case" on the level of evolution semigroups and derive a product formula

The abstract Cauchy problem
โœ J.A Donaldson ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 474 KB