Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis [electronic resource] : The Helge Holden Anniversary Volume / Fritz Gesztesy, Harald Hanche-Olsen, Espen R. Jakobsen, Yurii I. Lyubarskii, Nils Henrik Risebro, Kristian Seip

Format:

Book

Contributor:

Gesztesy, Fritz, editor.

Hanche-Olsen, Harald, editor.

Jakobsen, Espen R., editor.

Lyubarskii, Yurii I., editor.

Risebro, Nils Henrik, editor.

Seip, Kristian, editor.

Series:

EMS Series of Congress Reports (ECR) ; 2523-515X

Language:

English

Physical Description:

1 online resource (502 pages)

Place of Publication:

Zuerich, Switzerland : European Mathematical Society Publishing House, 2018

System Details:

text file PDF

Summary:

This volume is dedicated to Helge Holden on the occasion of his 60th anniversary. It collects contributions by numerous scientists with expertise in non-linear partial differential equations (PDEs), mathematical physics, and stochastic analysis, reflecting to a large degree Helge Holden's longstanding research interests. Accordingly, the problems addressed in the contributions deal with a large range of topics, including, in particular, infinite-dimensional analysis, linear and nonlinear PDEs, stochastic analysis, spectral theory, completely integrable systems, random matrix theory, and chaotic dynamics and sestina poetry. They represent to some extent the lectures presented at the conference Non-linear PDEs, Mathematical Physics and Stochastic Analysis, held at NTNU, Trondheim, July 4-7, 2016 (https://wiki.math.ntnu.no/holden60). The mathematical tools involved draw from a wide variety of techniques in functional analysis, operator theory, and probability theory. This collection of research papers will be of interest to any active scientist working in one of the above mentioned areas.

Contents:

Optimal control of forward-backward stochastic Volterra equations / Nacira Agram, Bernt Øksendal, Samia Yakhlef

A unified approach to infinite dimensional integrals of probabilistic and oscillatory type with applications to Feynman path integrals / Sergio Albeverio, Sonia Mazzucchi

The numbers lead a dance. Mathematics of the Sestina / Alan R. Champneys, Poul G. Hjorth, Harry Man

Compensated compactness in Banach spaces and weak rigidity of isometric immersions of manifolds / Gui-Qiang G. Chen, Siran Li

The initial-boundary-value problem for an Ostrovsky-Hunter type equation / Giuseppe Maria Coclite, Lorenzo di Ruvo, Kenneth Hvistendahl Karlsen

Modeling crowd dynamics through hyperbolic - elliptic equations / Rinaldo M. Colombo, Maria Gokieli, Massimiliano D. Rosini

On the well-posedness of solutions with finite energy for nonlocal equations of porous medium type / Félix del Teso, Jørgen Endal, Espen R. Jakobsen

On the spectrum of leaky surfaces with a potential bias / Pavel Exner

On the decay of almost periodic solutions of anisotropic degenerate parabolic-hyperbolic equations / Hermano Frid

Factorizations and Hardy-Rellich-type inequalities / Fritz Gesztesy, Lance Littlejohn

Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system / Katrin Grunert, Xavier Raynaud

Vanishing viscosity solutions of Riemann problems for models of polymer flooding / Graziano Guerra, Wen Shen

Efficient computation of all speed flows using an entropy stable shock-capturing space-time discontinuous Galerkin method / Andreas Hiltebrand, Siddhartha Mishra

Dispersion estimates for spherical Schrödinger equations with critical angular momentum / Markus Holzleitner, Aleksey Kostenko, Gerald Teschl

Sixty years of moments for random matrices / Werner Kirsch, Thomas Kriecherbauer

Bound states of Schrödinger type operators with Heisenberg sub-Laplacian / Ari Laptev, Andrei Velicu

On Holden's seven guidelines for scientific computing and development of open-source community software / Knut-Andreas Lie

Sharp uniqueness results for discrete evolutions / Yurii I. Lyubarskii, Eugenia Malinnikova

Spatial analyticity of solutions to nonlinear dispersive PDE / Sigmund Selberg.

ISBN:

3-03719-686-6