On Maximal Regularity and Semivariation of Cosine Operator Functions

DOI10.1112/S0024610799007073zbMath0946.47030MaRDI QIDQ4948568

Ding-Kuo Chyan, Sen-Yen Shaw, Serguei Piskarev

Publication date: 17 April 2000

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

strong solutioncosine operator functionbounded generatorslocally of bounded semivariation

Mathematics Subject Classification ID

Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (8)

On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Perturbation and comparison of cosine operator functions ⋮ A refinement of Baillon’s theorem on maximal regularity ⋮ Second order equations in functional spaces: qualitative and discrete well-posedness ⋮ Hilbert-Pachpatte-type inequalities for semigroups, cosine and sine operator functions ⋮ Opial type inequalities for cosine and sine operator functions ⋮ Poincaré like inequalities for semigroups, cosine and sine operator functions ⋮ Existence of solutions for the semilinear abstract Cauchy problem of fractional order

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