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.
Зміст
Uniformly regular and singular riemannian manifolds.- Eigenvalue estimates on Bakry-Emery manifolds.- A note on the local well-posedness for the Whitham equation.- On the lifetime of a conditioned Brownian motion in domains connected through small gaps.- Analyticity of rotational water waves.- Degenerate and singular porous medium type equations with measure data.- Aspects of the mathematical analysis of nonlinear stratified water waves.- A calculus of abstract edge pseudodifferential operators of type r;d.- Boundary value problems for elliptic wedge operators: the first order case.- The time singular limit for a fourth-order damped wave equation for MEMS.- Composition in the edge calculus.- On bifurcation for semilinear elliptic Dirichlet problems on shrinking domains.
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