Results 1 to 10 of about 164,663 (179)

Holder continuity for a drift-diffusion equation with pressure [PDF]

open access: yesAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 2011
We address the persistence of H\"older continuity for weak solutions of the linear drift-diffusion equation with nonlocal pressure \[ u_t + b \cdot \grad u - \lap u = \grad p,\qquad \grad\cdot u =0 \] on $[0,\infty) \times \R^{n}$, with $n \geq 2$.
Aronson   +27 more
core   +4 more sources

On the Hölder continuity for a class of vectorial problems

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper we prove local Hölder continuity of vectorial local minimizers of special classes of integral functionals with rank-one and polyconvex integrands.
Giovanni Cupini   +2 more
exaly   +2 more sources

On the Holder Continuity of Quasi Conformal and Elliptic Mappings [PDF]

open access: yesTransactions of the American Mathematical Society, 1958
If K 1. Geometrically, (1) implies that the mapping z->w(z) is sense-preserving, and that infinitesimal circles map onto infinitesimal ellipses for which the ratio of minor to major axis is >K-(K 2-1)1/2. The quantity ,u = K (K2 1)1/2, is thus the greatest lower bound of the "local eccentricity" of all mappings satisfying (1).
James Serrin
exaly   +3 more sources

Inequalities for integral operators in Hölder–Morrey spaces on differential forms

open access: yesJournal of Inequalities and Applications, 2023
The Hölder–Morrey spaces Λ κ p , τ ( Ω , ∧ l ) $\Lambda _{\kappa}^{p,\tau}(\Omega ,\wedge ^{l})$ are proposed in this paper. The imbedding inequalities for homotopy operator are derived in Hölder–Morrey spaces on differential forms. The Hölder continuity
Xuexin Li, Jianwei Wang, Ning Pan
doaj   +1 more source

Regularity of inhomogeneous Quasi-linear equations on the Heisenberg Group [PDF]

open access: yes, 2020
We establish Holder continuity of the horizontal gradient of weak solutions to quasi-linear p-Laplacian type non-homogeneous equations in the Heisenberg Group.Comment: Errors in earlier versions are corrected and significant structural changes have ...
Mukherjee, Shirsho, Sire, Yannick
core   +2 more sources

On spatially irregular ordinary differential equations and a pathwise volatility modelling framework [PDF]

open access: yes, 2021
This thesis develops a new framework for modelling price processes in finance, such as an equity price or foreign exchange rate. This can be related to the conventional Ito calculus-based framework through the time integral of a price's squared ...
McCrickerd, Ryan
core   +2 more sources

On the Solution of Equations by Extended Discretization

open access: yesComputation, 2020
The method of discretization is used to solve nonlinear equations involving Banach space valued operators using Lipschitz or Hölder constants. But these constants cannot always be found.
Gus I. Argyros   +4 more
doaj   +1 more source

A Note on Regularity for the n-dimensional H-System assuming logarithmic higher Integrability [PDF]

open access: yes, 2010
We prove Holder continuity for solutions to the n-dimensional H-System assuming logarithmic higher integrability of the ...
Schikorra, Armin
core   +1 more source

Global Bandits with Holder Continuity

open access: yesCoRR, 2014
Standard Multi-Armed Bandit (MAB) problems assume that the arms are independent. However, in many application scenarios, the information obtained by playing an arm provides information about the remainder of the arms. Hence, in such applications, this informativeness can and should be exploited to enable faster convergence to the optimal solution.
Onur Atan   +2 more
openaire   +2 more sources

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