Results 11 to 20 of about 412 (197)

Smooth subsolutions of the discounted Hamilton-Jacobi equations [PDF]

open access: greenDifferential and Integral Equations, 2020
For the discounted Hamilton-Jacobi equation,$$λu+H(x,d_x u)=0, \ x \in M, $$we construct $C^{1,1}$ subsolutions which are indeed solutions on the projected Aubry set. The smoothness of such subsolutions can be improved under additional hyperbolicity assumptions.
Liang Jin   +3 more
openalex   +3 more sources

Piecewise Constant Subsolutions for the Muskat Problem [PDF]

open access: hybridCommunications in Mathematical Physics, 2018
Comment: 28 ...
Clemens Förster, László Székelyhidi
  +6 more sources

Weak subsolutions to complex Monge-Ampère equations [PDF]

open access: greenJournal of the Mathematical Society of Japan, 2017
We compare various notions of weak subsolutions to degenerate complex Monge-Amp re equations, showing that they all coincide. This allows us to give an alternative proof of mixed Monge-Amp re inequalities due to Kolodziej and Dinew.
Vincent Guedj   +2 more
openalex   +6 more sources

Tangents to subsolutions: existence and uniqueness, Part I [PDF]

open access: diamondAnnales de la Faculté des sciences de Toulouse : Mathématiques, 2018
There is an interesting potential theory associated to each degenerate elliptic, fully nonlinear equation f(D 2 u)=0. These include all the potential theories attached to calibrated geometries. This paper begins the study of tangents to the subsolutions in these theories, a topic inspired by the results of Kiselman in the classical plurisubharmonic ...
F. Reese Harvey, H. Blaine Lawson
openalex   +7 more sources

A note on a weak subsolution [PDF]

open access: bronzeProceedings of the Japan Academy, Series A, Mathematical Sciences, 1963
Kazunari Hayashida
openalex   +4 more sources

A subsolution-supersolution method for quasilinear systems

open access: yesElectronic Journal of Differential Equations, 2005
Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution.
Dimitrios A. Kandilakis   +1 more
doaj   +2 more sources

Importance sampling for Markovian tandem queues using subsolutions: exploring the possibilities [PDF]

open access: hybridSIMULATION, 2021
We consider importance sampling simulation for estimating the probability of reaching large total number of customers in an [Formula: see text] tandem queue, during a busy cycle of the system. Our main result is a procedure for obtaining a family of asymptotically efficient changes of measure based on subsolutions.
Anne Buijsrogge   +2 more
openalex   +5 more sources

An Algorithm to Construct Subsolutions of Convex Optimal Control Problems [PDF]

open access: greenSIAM Journal on Control and Optimization, 2022
37 pages, 3 figures, 5 tables.
Gianmarco Bet, Markus Fischer
openalex   +5 more sources

Subsolutions of time-periodic Hamilton–Jacobi equations [PDF]

open access: greenErgodic Theory and Dynamical Systems, 2007
To appear in Ergodic Theory and Dynamical ...
Daniel Massart
openalex   +5 more sources

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