Results 1 to 10 of about 149 (131)

On the fine properties of parabolic measures associated to strongly degenerate parabolic operators of Kolmogorov type

open access: yes, 2021
We consider strongly degenerate parabolic operators of the form L := del(X) . (A(X, Y, t)del(X)) + X . del(Y) - partial derivative(t) in unbounded domains Omega = {(X, Y, t) = (x, x(m), y, y(m), t) is an element of Rm-1 x R x Rm-1 x R x R vertical bar x ...
Nyström, Kaj   +3 more
core   +1 more source

Potential theory for a class of strongly degenerate parabolic operators of Kolmogorov type with rough coefficients

open access: yes, 2022
In this paper we develop a potential theory for strongly degenerate parabolic operators of the form L := del(X) . (A(X, Y, t)del(X)) + X . del(Y) - partial derivative(t), in unbounded domains of the form Omega = {(X, Y, t) = (x, x(m), y, y(m), t) is an ...
Nyström, Kaj   +3 more
core   +1 more source

Boundedness of generalized fractional integral operators on Orlicz spaces near $L^1$ over metric measure spaces [PDF]

open access: yes, 2019
summary:We are concerned with the boundedness of generalized fractional integral operators $I_{\rho ,\tau }$ from Orlicz spaces $L^{\Phi }(X)$ near $L^1(X)$ to Orlicz spaces $L^{\Psi }(X)$ over metric measure spaces equipped with lower Ahlfors $Q ...
Ohno, Takao   +2 more
core   +1 more source

A Du Bois-Reymond Convex Inclusion for Nonautonomous Problems of the Calculus of Variations and Regularity of Minimizers

open access: yes, 2019
We consider a local minimizer, in the sense of the $W^{1,m}$ norm ($mge 1$), of the classical problem (P) of the calculus of variations Minimize $ I(x):=int_a^bLambda(t,x(t), x'(t)),dt+Psi(x(a), x(b))$ subject to: $xin W^{1,m}([a,b];R^n)$, $x'(t)in
Bettiol, Piernicola, Mariconda, Carlo
core   +1 more source

Relaxation of free-discontinuity energies with obstacles

open access: yes, 2008
Given a Borel function ψ defined on a bounded open set Ω with Lipschitz boundary and $\varphi\in L^1(\partial\Omega,{\mathcal H}^{n-1})$, we prove an explicit representation formula for the L1 lower semicontinuous envelope of Mumford-Shah type ...
Focardi, Matteo   +3 more
core   +1 more source

Space-time integral currents of bounded variation. [PDF]

open access: yesCalc Var Partial Differ Equ, 2023
Rindler F.
europepmc   +1 more source

Lipschitz Carnot-Carathéodory Structures and their Limits. [PDF]

open access: yesJ Dyn Control Syst, 2023
Antonelli G   +2 more
europepmc   +1 more source

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