Results 1 to 10 of about 573 (64)
PDEs with Compressed Solutions [PDF]
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
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Regularity of Nash payoffs of Markovian nonzero-sum stochastic differential games [PDF]
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
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On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial data [PDF]
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
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Almost classical solutions to the total variation flow [PDF]
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
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Quantum Curve and the First Painlev\'e Equation [PDF]
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
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Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials [PDF]
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
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A variational approach to dissipative SPDEs with singular drift [PDF]
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
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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
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H-compactness of elliptic operators on weighted Riemannian Manifolds [PDF]
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
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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.
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