Evolution Equations and Their Applications in Physical and Life Sciences

Part 1 Semigroups and partial differential equations: different domains induce different heat semigroups on C0(omega); Gaussian estimates for second order elliptic divergence operators on Lipschitz and C4 domains; approximate solutions to the abstract Cauchy problem; smart structures and super stability; on the structure of the critical spectrum; an operator-valued transference principle and maximal regularity on vector-valued Lp-spaces; on anomalous asymptotics of heat kernels; on some classes of differential operators generating analytic semigroups; a characterization on the growth bound of a semigroup via Fourier multipliers; Laplace transform theory for logarithmic regions; exact boundary controllability of Maxwell's condition for exponential dichotomy of parabolic evolution equations; edge-degenerate boundary value problems on cones; a theorem on products of noncommuting sectorial operators; the spectral radius, hyperbolic operators and Lyapunov's theorem; a new approach to maximal Lp-regularity. Part 2 Nonlinear evolution equations: the instantaneous limits of a reaction-diffusion system; a semigroup approach to dispersive waves; regularity properties of solutions of fractional evolution equations; infinite horizon Riccati operators in nonreflexive spaces; a hyperbolic variant of Simon's convergence theorem; solution of a quasilinear parabolic-elliptic boundary value problem. Part 3 Physical and life sciences: singular cluster interactions in few-body problems; Feynman and Wiener path integrals; spectral characterization of mixing evolutions in classical statistical physics; on stochastic Schrodinger equation as a Dirac boundary-value problem, and an inductive stochastic limit; a maximum principle for fully nonlinear parabolic equations with time degeneracy; Dirac algebra and Foldy-Wouthuysen transform. Part 4 Stochastic evolution equation.