Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis


Book details

Optimal control of forward-backward stochastic Volterra equations
Nacira Agram, Bernt Øksendal and Samia Yakhlef
pp. 3–35
Abstract | Full-Text PDF (226 KB)

A unified approach to infinite dimensional integrals of probabilistic and oscillatory type with applications to Feynman path integrals
Sergio Albeverio and Sonia Mazzucchi
pp. 37–53
Abstract | Full-Text PDF (178 KB)

The numbers lead a dance. Mathematics of the Sestina
Alan R. Champneys, Poul G. Hjorth and Harry Man
pp. 55–71
Abstract | Full-Text PDF (2316 KB)

Compensated compactness in Banach spaces and weak rigidity of isometric immersions of manifolds
Gui-Qiang G. Chen and Siran Li
pp. 73–95
Abstract | Full-Text PDF (208 KB)

The initial-boundary-value problem for an Ostrovsky–Hunter type equation
Giuseppe Maria Coclite, Lorenzo di Ruvo and Kenneth Hvistendahl Karlsen
pp. 97–109
Abstract | Full-Text PDF (153 KB)

Modeling crowd dynamics through hyperbolic – elliptic equations
Rinaldo M. Colombo, Maria Gokieli and Massimiliano D. Rosini
pp. 111–128
Abstract | Full-Text PDF (206 KB)

On the well-posedness of solutions with finite energy for nonlocal equations of porous medium type
Félix del Teso, Jørgen Endal and Espen R. Jakobsen
pp. 129–167
Abstract | Full-Text PDF (302 KB)

On the spectrum of leaky surfaces with a potential bias
Pavel Exner
pp. 169–181
Abstract | Full-Text PDF (159 KB)

On the decay of almost periodic solutions of anisotropic degenerate parabolic-hyperbolic equations
Hermano Frid
pp. 183–205
Abstract | Full-Text PDF (212 KB)

Factorizations and Hardy–Rellich-type inequalities
Fritz Gesztesy and Lance Littlejohn
pp. 207–226
Abstract | Full-Text PDF (185 KB)

Symmetries and multipeakon solutions for the modified two-component Camassa–Holm system
Katrin Grunert and Xavier Raynaud
pp. 227–260
Abstract | Full-Text PDF (573 KB)

Vanishing viscosity solutions of Riemann problems for models of polymer flooding
Graziano Guerra and Wen Shen
pp. 261–285
Abstract | Full-Text PDF (227 KB)

Efficient computation of all speed flows using an entropy stable shock-capturing space-time discontinuous Galerkin method
Andreas Hiltebrand and Siddhartha Mishra
pp. 287–318
Abstract | Full-Text PDF (5144 KB)

Dispersion estimates for spherical Schrödinger equations with critical angular momentum
Markus Holzleitner, Aleksey Kostenko and Gerald Teschl
pp. 319–347
Abstract | Full-Text PDF (234 KB)

Sixty years of moments for random matrices
Werner Kirsch and Thomas Kriecherbauer
pp. 349–379
Abstract | Full-Text PDF (231 KB)

Bound states of Schrödinger type operators with Heisenberg sub-Laplacian
Ari Laptev and Andrei Velicu
pp. 381–387
Abstract | Full-Text PDF (124 KB)

On Holden’s seven guidelines for scientific computing and development of open-source community software
Knut-Andreas Lie
pp. 389–422
Abstract | Full-Text PDF (733 KB)

Sharp uniqueness results for discrete evolutions
Yurii I. Lyubarskii and Eugenia Malinnikova
pp. 423–436
Abstract | Full-Text PDF (155 KB)

Spatial analyticity of solutions to nonlinear dispersive PDE
Sigmund Selberg
pp. 437–454
Abstract | Full-Text PDF (178 KB)

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