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Non-linear partial differential equations, mathematical physics, and stochastic analysis : the Helge Holden anniversary volume

Author: Fritz GesztesyHarald Hanche-OlsenEspen R JakobsenYurii I LyubarskiiNils Henrik RisebroAll authors
Publisher: Zürich, Switzerland : European Mathematical Society, [2018]
Series: EMS series of congress reports.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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,  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Fritz Gesztesy; Harald Hanche-Olsen; Espen R Jakobsen; Yurii I Lyubarskii; Nils Henrik Risebro; Kristian Seip
ISBN: 9783037196861 3037196866
OCLC Number: 1037014272
Description: 1 online resource : color illustrations
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.
Series Title: EMS series of congress reports.
Responsibility: Fritz Gesztesy [and 5 others], editors.
More information:

Abstract:

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.

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