Analyticity of the sine family with \(L^p\)-maximal regularity for second order Cauchy problems

DOI10.1007/S10114-010-7440-0zbMath1190.35163OpenAlexW2069636938MaRDI QIDQ2269617

Meng Cheng Wang, Yongzhong Huang

Publication date: 17 March 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7440-0

zbMATH Keywords

propagator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for second-order hyperbolic equations (35L15) Abstract hyperbolic equations (35L90)

Related Items (1)

Second order equations in functional spaces: qualitative and discrete well-posedness

Cites Work

• Singular perturbation and boundary layer for an abstract Cauchy problem
• Analyticity of the propagators of second order linear differential equations in Banach spaces
• \(L^p\)-maximal regularity for second order Cauchy problems
• Heat kernels and maximal l^p—l^qestimates for parabolic evolution equations
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