Results 11 to 20 of about 7,649 (300)

Qualitative Lipschitz to bi-Lipschitz decomposition

open access: yesAnalysis and Geometry in Metric Spaces
We prove that any Lipschitz map that satisfies a condition inspired by the work of G. David may be decomposed into countably many bi-Lipschitz pieces.
Bate David
doaj   +2 more sources

A Sufficient Condition for Lipschitz Stability of Controlled Invariant Subspaces

open access: yesMediterranean Journal of Mathematics, 2009
Given a pair of matrices (A,B) we study the Lipschitz stability of its controlled invariant subspaces. A sufficient condition is derived from the geometry of the set formed by the quadruples (A,B, F, S) where S is an (A,B)-invariant subspace and F a corresponding feedback.
Peña Carrera, Marta   +2 more
openaire   +4 more sources

A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
We prove the following result: if a continuous vector field $F$ is Lipschitz when restricted to the hypersurfaces determined by a suitable foliation and a transversal condition is satisfied at the initial condition, then $F$ determines a locally unique ...
José Ángel Cid, F. Adrián Tojo
doaj   +2 more sources

Lipschitz minimizers for a class of integral functionals under the bounded slope condition [PDF]

open access: yes, 2022
We consider the functional∫Ωg(∇u+X∗) dL2nwheregis convex andX∗(x,y)=2(−y,x)and we study the minimizers in BV(Ω) of the associated Dirichlet problem.
Treu, Giulia   +7 more
core   +1 more source

Integral representation of a solution to the Stokes-Darcy problem [PDF]

open access: yes, 2015
With methods of potential theory we develop a representation of a solution of the coupled Stokes-Darcy model in a Lipschitz domain for boundary data in H-1 ...
Medková, Dagmar   +6 more
core   +1 more source

Path regularity and explicit convergence rate for BSDE with truncated quadratic growth [PDF]

open access: yes, 2010
We consider backward stochastic differential equations with drivers of quadratic growth (qgBSDE). We prove several statements concerning path regularity and stochastic smoothness of the Solution processes of the qg-BSDE, in particular we prove an ...
Dos Reis, Goncalo, Imkeller, Peter
core   +1 more source

Lipschitz conditions and the distance ratio metric [PDF]

open access: yesFilomat, 2015
We give a study of the Lipschitz continuity of M?bius transformations of a punctured ball onto another punctured ball in Rn with respect to the distance ratio metric. Some subtle methods are developed, helping to determine the best possible j-Lip constant in this case.
Simic, S, Vuorinen, M
openaire   +3 more sources

Convergence of the Euler Method of Stochastic Differential Equations with Piecewise Continuous Arguments

open access: yesAbstract and Applied Analysis, 2012
The main purpose of this paper is to investigate the strong convergence of the Euler method to stochastic differential equations with piecewise continuous arguments (SEPCAs).
Ling Zhang, Minghui Song
doaj   +1 more source

Existence and Uniqueness of Solutions to Neutral Stochastic Functional Differential Equations with Poisson Jumps

open access: yesAbstract and Applied Analysis, 2012
A class of neutral stochastic functional differential equations with Poisson jumps (NSFDEwPJs), d[x(t)-G(xt)]=f(xt, t)dt+g(xt,t)dW(t)+h(xt,t)dN(t), t∈[t0,T], with initial value xt0=ξ={ξ(θ):-τ≤θ≤0}, is investigated.
Jianguo Tan, Hongli Wang, Yongfeng Guo
doaj   +1 more source

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