Tanabe, Hiroki Equations of evolution. Translated from Japanese by N. Mugibayashi and H. Haneda. (English) Zbl 0417.35003 Monographs and Studies in Mathematics. 6. London - San Francisco - Melbourne: Pitman. XII, 260 p. £20.00 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 265 Documents MSC: 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 35B35 Stability in context of PDEs 35G10 Initial value problems for linear higher-order PDEs 35G25 Initial value problems for nonlinear higher-order PDEs 35J25 Boundary value problems for second-order elliptic equations 35K10 Second-order parabolic equations 35L10 Second-order hyperbolic equations 35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) 47A50 Equations and inequalities involving linear operators, with vector unknowns 47B44 Linear accretive operators, dissipative operators, etc. 47D03 Groups and semigroups of linear operators 34G99 Differential equations in abstract spaces Keywords:time dependent evolution equation; theory and applications; dissipative operators; fractional powers of operators; semigroups of linear operators; temporally inhomogeneous equations; parabolic equations; non- linear equations; optimal control; existence and uniqueness theory; regularity; asymptotic behavior PDF BibTeX XML OpenURL