Results 61 to 70 of about 304,795 (244)

On regularity and existence of weak solutions to nonlinear Kolmogorov-Fokker-Planck type equations with rough coefficients

open access: yesMathematics in Engineering, 2023
We consider nonlinear Kolmogorov-Fokker-Planck type equations of the form $ \begin{equation*} (\partial_t+X\cdot\nabla_Y)u = \nabla_X\cdot(A(\nabla_X u, X, Y, t)).
Prashanta Garain, Kaj Nyström
doaj   +1 more source

Regular and semi-regular polytopes. II

open access: yesMathematische Zeitschrift, 1940
[For part I see the review above.] The first section summarizes Part I, giving particular attention to the 3-dimensional point groups. The second section establishes subgroup relationships among the various irreducible reflection groups in 4 dimensions: 5 finite and 5 infinite.
openaire   +3 more sources

Optimal gradient estimates for multi-phase integrals

open access: yesMathematics in Engineering, 2022
We prove sharp reverse Hölder inequalities for minima of multi-phase variational integrals and apply them to Calderón-Zygmund estimates for nonhomogeneous problems.
Cristiana De Filippis
doaj   +1 more source

Regularity lemma for distal structures [PDF]

open access: yesJournal of the European Mathematical Society (Print), 2015
It is known that families of graphs with a semialgebraic edge relation of bounded complexity satisfy much stronger regularity properties than arbitrary graphs, and that they can be decomposed into very homogeneous semialgebraic pieces up to a small error
A. Chernikov, S. Starchenko
semanticscholar   +1 more source

Regularity of eigenstates in regular Mourre theory

open access: yesJournal of Functional Analysis, 2011
The present paper gives an abstract method to prove that possibly embedded eigenstates of a self-adjoint operator $H$ lie in the domain of the $k^{th}$ power of a conjugate operator $A$. Conjugate means here that $H$ and $A$ have a positive commutator locally near the relevant eigenvalue in the sense of Mourre.
Møller, Jacob Schach   +1 more
openaire   +4 more sources

Quantifying Non-Stationarity with Information Theory

open access: yesEntropy, 2021
We introduce an index based on information theory to quantify the stationarity of a stochastic process. The index compares on the one hand the information contained in the increment at the time scale τ of the process at time t with, on the other hand ...
Carlos Granero-Belinchón   +2 more
doaj   +1 more source

Regular Operator Equations: Conditions for Regularity [PDF]

open access: yesProceedings of the American Mathematical Society, 1982
Regular operator equations are causal equations admitting unique solutions and have the property that all of their limiting equations along solutions admit unique solutions. Sufficient conditions which guarantee that an operator equation x = T x x = Tx is regular are given in case T T is
openaire   +3 more sources

Variability in Regularity: Mining Temporal Mobility Patterns in London, Singapore and Beijing Using Smart-Card Data

open access: yesPLoS ONE, 2016
To discover regularities in human mobility is of fundamental importance to our understanding of urban dynamics, and essential to city and transport planning, urban management and policymaking.
Chen Zhong   +6 more
semanticscholar   +1 more source

Regularity of Stochastic Kinetic Equations [PDF]

open access: yes, 2016
We consider regularity properties of stochastic kinetic equations with multiplicative noise and drift term which belongs to a space of mixed regularity ($L^p$-regularity in the velocity-variable and Sobolev regularity in the space-variable).
E. Fedrizzi   +3 more
semanticscholar   +1 more source

A-Stable Time Discretizations Preserve Maximal Parabolic Regularity [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2015
It is shown that for a parabolic problem with maximal $L^p$-regularity (for ...
Balázs Kovács, Buyang Li, C. Lubich
semanticscholar   +1 more source

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