Results 81 to 90 of about 9,739 (169)
Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related nonlinear partial differential equation. The semigroup needs to satisfy a convexity estimate, so called K$K$‐convexity, with respect to another family of operators ...
Fabian Fuchs, Max Nendel
wiley +1 more source
Stochastic homogenization of non-local Hamilton-Jacobi equations
, 2016 We study the homogenization of non-local Hamilton-Jacobi equations in stationary ergodic settings. These equations can be seen as a level-set approach of front propagation problems that move in the normal direction with non-local velocities.
Hajej, Ahmed
core +1 more source
On the Hamilton-Jacobi-Bellman equations
, 1983 We consider general problems of optimal stochastic control and the associated Hamilton-Jacobi-Bellman equations. We recall first the usual derivation of the Hamilton-Jacobi-Bellman equations from the Dynamic Programming Principle.
Lions, Pierre-Louis
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Hamilton-Jacobi Equations on Graph and Applications [PDF]
Potential Analysis, 2017 This paper introduces a notion of gradient and an infimal-convolution operator that extend properties of solutions of Hamilton Jacobi equations to more general spaces, in particular to graphs. As a main application, the hypercontractivity of this class of infimal-convolution operators is connected to some discrete version of the log-Sobolev inequality ...
openaire +3 more sources
Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization
International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
wiley +1 more source
上海师范大学学报. 自然科学版, 2015 We study the cosmological inflation models driven by the rolling tachyon field which has a Born-Infeld-type action.We drive the Hamilton-Jacobi equation for the cosmological dynamics of tachyon inflation and the mode equations for the scalar and tensor ...
HU Zhijuan, YAN Aimin
doaj +1 more source
Optimal investment models with vintage capital: Dynamic Programming approach [PDF]
The Dynamic Programming approach for a family of optimal investment models with vintage capital is here developed. The problem falls into the class of infinite horizon optimal control problems of PDE's with age structure that have been studied in various
Silvia Faggian, Fausto Gozzi
core
A continuous dependence estimate for viscous Hamilton–Jacobi equations on networks with applications [PDF]
We study continuous dependence estimates for viscous Hamilton–Jacobi equations defined on a network Γ . Given two Hamilton–Jacobi equations, we prove an estimate of the C2 -norm of the difference between the corresponding solutions in terms of the ...
Marchi C., Camilli F.
core +3 more sources
Electronic Journal of Differential Equations, 2006 In this paper we prove the existence and uniqueness of viscosity solutions of the Cauchy problem for the second order nonlinear partial differential equations in Hilbert spaces.
Tran Van Bang, Tran Duc Van
doaj
Coercive Hamilton–Jacobi equations in domains: the twin blow-ups method
Comptes Rendus. MathématiqueIn this note, we consider an evolution coercive Hamilton–Jacobi equation posed in a domain and supplemented with a boundary condition. We are interested in proving a comparison principle in the case where the time and the (normal) gradient variables are ...
Forcadel, Nicolas +2 more
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