Elliptic and Parabolic Equations: Hannover, September 2013 (Springer Proceedings in Mathematics & Statistics Book 119)

The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations. Particular emphasis was put on the interaction between well-established scientists and emerging young mathematicians, as well as on exploring new connections between pure and applied mathematics. The volume contains material derived after the workshop taking up the impetus to continue collaboration and to incorporate additional new results and insights. Front Matter....Pages i-xii Uniformly Regular and Singular Riemannian Manifolds....Pages 1-43 Eigenvalue Estimates on Bakry–Émery Manifolds....Pages 45-61 A Note on the Local Well-Posedness for the Whitham Equation....Pages 63-75 On the Lifetime of a Conditioned Brownian Motion in Domains Connected Through Small Gaps....Pages 77-109 Analyticity of Rotational Water Waves....Pages 111-137 Degenerate and Singular Porous Medium Type Equations with Measure Data....Pages 139-158 Aspects of the Mathematical Analysis of Nonlinear Stratified Water Waves....Pages 159-177 A Calculus of Abstract Edge Pseudodifferential Operators of Type \(\rho,\delta\) ....Pages 179-207 Boundary Value Problems for Elliptic Wedge Operators: The First-Order Case....Pages 209-232 The Time Singular Limit for a Fourth-Order Damped Wave Equation for MEMS....Pages 233-246 Compositions in the Edge Calculus....Pages 247-271 On Bifurcation for Semilinear Elliptic Dirichlet Problems on Shrinking Domains....Pages 273-291 This volume covers the latest research on elliptic and parabolic equations and originates from the international Workshop on Elliptic and Parabolic Equations, held September 10-12, 2013 at the Leibniz Universität Hannover. It represents a collection of refereed research papers and survey articles written by eminent scientist on advances in different fields of elliptic and parabolic partial differential equations, including singular Riemannian manifolds, spectral analysis on manifolds, nonlinear dispersive equations, Brownian motion and kernel estimates, Euler equations, porous medium type equations, pseudodifferential calculus, free boundary problems, and bifurcation analysis