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BOUNDEDNESS OF MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS ON MODULATION SPACES
MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS MODULATION SPACES
2015/12/10
Boundedness results for multilinear pseudodifferential operators on products of modulation spaces are derived based on ordered integrability conditions on the short-time Fourier transform of the opera...
A FIRST LOOK AT DIFFERENTIAL ALGEBRA.
Information Theoretic Limits on Learning Stochastic Differential Equations
Stochastic differential equation the coefficient
2015/8/21
Consider the problem of learning the drift coefficient of a stochastic differential equation from a sample path. In this paper, we assume that the drift is parametrized by a highdimensional vector. We...
DIFFERENTIAL HARNACK ESTIMATES FOR PARABOLIC EQUATIONS
PARABOLIC EQUATIONS DIFFERENTIAL HARNACK
2015/8/17
Let (M, g(t)) be a solution to the Ricci flow on a closed Riemannian
manifold. In this paper, we prove differential Harnack inequalities for positive
solutions of nonlinear parabolic equ...
DIFFERENTIAL HARNACK ESTIMATES FOR BACKWARD HEAT EQUATIONS WITH POTENTIALS UNDER THE RICCI FLOW
HARNACK ESTIMATES WITH POTENTIALS UNDER THE RICCI FLOW
2015/8/17
In this paper, we derive a general evolution formula for possible Harnack quantities. As a consequence, we prove several differential Harnack inequalities
for positive solutions of backward hea...
Manin triples and differential operators on quantum groups
Manin triples differential operators quantum groups
2011/1/18
Let (a,m, l) be a Manin triple, and let M, L be algebraic groups with Lie algebras m, l respectively. We point out that the product M×L carries a natural structure of Poisson manifold,whose Poisson te...
A Gaussian estimate for the Heat Kernel on differential forms and application to the Riesz transform
Gaussian the Heat Kernel differential forms
2010/11/24
Let $(M^m,g)$ be a m-dimensional complete Riemannian manifold which satisfies the n-Sobolev inequality and on which the volume growth is comparable to the one of $\R^n$ for big balls; if the Hodge Lap...
Cech cocycles for differential characteristic classes -- An infinity-Lie theoretic construction
Cech cocycles differential characteristic classes
2010/11/24
We define for every L-infinity algebra a smooth infinity-group integrating it, and define smooth principal infinity-bundles with connection. For every L-infinity-algebra cocycle of suitable degree, we...
A condition on delay for differential equations with discrete state-dependent delay
differential equations discrete state-dependent delay
2010/11/23
Parabolic differential equations with discrete state-dependent delay are studied. The approach, based on an additional condition on the delay function introduced in [A.V. Rezounenko, Differential equ...
Loewner Theory in annulus I: evolution families and differential equations
Loewner Theory differential equations
2010/11/23
Loewner Theory, based on dynamical viewpoint, is a powerful tool in Complex Analysis, which plays a crucial role in such important achievements as the proof of famous Bieberbach's conjecture and well...
Non-trivial Compositions of Differential Operations and Gateaux Directional Derivative
Differential Operations Gateaux Directional Derivative
2010/11/8
This paper is devoted to the enumeration of non-trivial compositions of higher order of differential operations and Gateaux directional derivative in $R^n$. We present recurrences for counting non-tri...
Rank of Projection-Algebraic Representations of Some Differential Operators
Rank of Projection-Algebraic Differential Operators
2010/11/22
The Lie-algebraic method approximates differential operators that are formal polynomials of {1,x,d/dx} by linear operators acting on a finite dimensional space of polynomials. In this paper we prove ...
A Semigroup Point Of View On Splitting Schemes For Stochastic (Partial) Differential Equations
Semigroup Point Splitting Schemes Differential Equations
2010/11/18
We construct normed spaces of real-valued functions with controlled growth on possibly infinite-dimensional state spaces such that semigroups of positive, bounded operators $(P_t)_{t\ge 0}$ thereon w...
On Girsanov's transform for backward stochastic differential equations
stochastic differential equations math
2010/11/19
By using a simple observation that the density processes appearing in Ito's martingale representation theorem are invariant under the change of measures, we establish a non-linear version of the Came...
Reflected backward doubly stochastic differential equations with discontinuous generator
stochastic differential equations discontinuous generator
2010/11/19
In this note, we study one-dimensional reflected backward doubly stochastic differential equations (RBDSDEs) with one continuous barrier and discontinuous generator (left-or right-continuous). By a c...
