Results 1 to 10 of about 573 (64)

PDEs with Compressed Solutions [PDF]

open access: yes, 2014
Sparsity plays a central role in recent developments in signal processing, linear algebra, statistics, optimization, and other fields. In these developments, sparsity is promoted through the addition of an $L^1$ norm (or related quantity) as a constraint
Caflisch, Russel E.   +3 more
core   +3 more sources

Regularity of Nash payoffs of Markovian nonzero-sum stochastic differential games [PDF]

open access: yes, 2018
In this paper we deal with the problem of existence of a smooth solution of the Hamilton-Jacobi-Bellman-Isaacs (HJBI for short) system of equations associated with nonzero-sum stochastic differential games.
Hamadene, Said, Mannucci, Paola
core   +2 more sources

On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data [PDF]

open access: yes, 2010
We study the Cauchy initial-value problem for the Benjamin-Ono equation in the zero-disperion limit, and we establish the existence of this limit in a certain weak sense by developing an appropriate analogue of the method invented by Lax and Levermore to
Benjamin   +33 more
core   +1 more source

Almost classical solutions to the total variation flow [PDF]

open access: yes, 2011
The paper examines one-dimensional total variation flow equation with Dirichlet boundary conditions. Thanks to a new concept of "almost classical" solutions we are able to determine evolution of facets -- flat regions of solutions.
Kielak, Karolina   +2 more
core   +2 more sources

Quantum Curve and the First Painlev\'e Equation [PDF]

open access: yes, 2016
We show that the topological recursion for the (semi-classical) spectral curve of the first Painlev\'e equation $P_{\rm I}$ gives a WKB solution for the isomonodromy problem for $P_{\rm I}$.
Iwaki, Kohei, Saenz, Axel
core   +1 more source

Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials [PDF]

open access: yes, 2018
The paper arXiv:1804.11290 contains well-posedness and regularity results for a system of evolutionary operator equations having the structure of a Cahn-Hilliard system.
Colli, Pierluigi   +2 more
core   +3 more sources

A variational approach to dissipative SPDEs with singular drift [PDF]

open access: yes, 2017
We prove global well-posedness for a class of dissipative semilinear stochastic evolution equations with singular drift and multiplicative Wiener noise. In particular, the nonlinear term in the drift is the superposition operator associated to a maximal ...
Marinelli, Carlo, Scarpa, Luca
core   +3 more sources

Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: a Review and Extensions of Tests for the Painlev\'e Property

open access: yes, 1997
The integrability (solvability via an associated single-valued linear problem) of a differential equation is closely related to the singularity structure of its solutions.
A. C. Newell   +53 more
core   +1 more source

H-compactness of elliptic operators on weighted Riemannian Manifolds [PDF]

open access: yes, 2019
In this paper we study the asymptotic behavior of second-order uniformly elliptic operators on weighted Riemannian manifolds. They naturally emerge when studying spectral properties of the Laplace-Beltrami operator on families of manifolds with rapidly ...
Hoppe, Helmer   +2 more
core   +3 more sources

Wave Solutions

open access: yes, 2012
In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be understood as a ...
Christov, Ivan C.
core   +1 more source

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