Herbert Amann & Wolfgang Arendt 
Functional Analysis and Evolution Equations [PDF ebook] 
The Günter Lumer Volume

Expansions in Generalized Eigenfunctions of the Weighted Laplacian on Star-shaped Networks.- Diffusion Equations with Finite Speed of Propagation.- Subordinated Multiparameter Groups of Linear Operators: Properties via the Transference Principle.- An Integral Equation in Aero Elasticity.- Eigenvalue Asymptotics Under a Non-dissipative Eigenvalue Dependent Boundary Condition for Second-order Elliptic Operators.- Feynman-Kac Formulas, Backward Stochastic Differential Equations and Markov Processes.- Generation of Cosine Families on L p (0, 1) by Elliptic Operators with Robin Boundary Conditions.- Global Smooth Solutions to a Fourth-order Quasilinear Fractional Evolution Equation.- Positivity Property of Solutions of Some Quasilinear Elliptic Inequalities.- On a Stochastic Parabolic Integral Equation.- Resolvent Estimates for a Perturbed Oseen Problem.- Abstract Delay Equations Inspired by Population Dynamics.- Weak Stability for Orbits of C 0-semigroups on Banach Spaces.- Contraction Semigroups on L ?(R).- On the Curve Shortening Flow with Triple Junction.- The Dual Mixed Finite Element Method for the Heat Diffusion Equation in a Polygonal Domain, I.- Maximal Regularity of the Stokes Operator in General Unbounded Domains of ? n .- Linear Control Systems in Sequence Spaces.- On the Motion of Several Rigid Bodies in a Viscous Multipolar Fluid.- On the Stokes Resolvent Equations in Locally Uniform L p Spaces in Exterior Domains.- Generation of Analytic Semigroups and Domain Characterization for Degenerate Elliptic Operators with Unbounded Coefficients Arising in Financial Mathematics. Part II.- Numerical Approximation of Generalized Functions: Aliasing, the Gibbs Phenomenon and a Numerical Uncertainty Principle.- No Radial Symmetries in the Arrhenius-Semenov Thermal Explosion Equation.- Mild Well-posedness of Abstract Differential Equations.- Backward Uniqueness in Linear Thermoelasticity with Time and Space Variable Coefficients.- Measure and Integral: New Foundations after One Hundred Years.- Post-Widder Inversion for Laplace Transforms of Hyperfunctions.- On a Class of Elliptic Operators with Unbounded Time- and Space-dependent Coefficients in ? N .- Time-dependent Nonlinear Perturbations of Analytic Semigroups.- A Variational Approach to Strongly Damped Wave Equations.- Exponential and Polynomial Stability Estimates for the Wave Equation and Maxwell’s System with Memory Boundary Conditions.- Maximal Regularity for Degenerate Evolution Equations with an Exponential Weight Function.- An Analysis of Asian options.- Linearized Stability and Regularity for Nonlinear Age-dependent Population Models.- Space Almost Periodic Solutions of Reaction Diffusion Equations.- On the Oseen Semigroup with Rotating Effect.- Exact Controllability in L 2(?) of the Schrödinger Equation in a Riemannian Manifold with L 2(?1)-Neumann Boundary Control.