Results 31 to 40 of about 5,678,356 (168)

Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
wiley   +1 more source

Optimal control of the propagation of a graph in inhomogeneous media [PDF]

, 2009
We study an optimal control problem for viscosity solutions of a Hamilton–Jacobi equation describing the propagation of a one-dimensional graph with the control being the speed function.
Deckelnick, Klaus, Vanessa Styles (4460662), Charles M Elliott (16060877), Styles, Vanessa, Klaus Deckelnick (16038425), Elliott, Charles M.   +5 more
core   +1 more source

Enhanced Control Strategies for Residual‐Vibration Suppression and Adaptive Tracking in Flexible Manipulator Under Unknown Bounded Disturbances

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper proposes a hybrid control strategy for flexible‐link manipulators that combines offline trajectory planning with adaptive tracking to suppress residual elastic vibration (REV) under unknown bounded disturbances. A rigid–flexible coupling dynamics model is first established using the floating‐frame method and Lagrange's equations ...
Mingming Shi, Bao Rong, Xiaoting Rui, Guoping Wang, Xiaoli Dong, Xin Zhao   +5 more
wiley   +1 more source

Viscosity solutions of the evolutive Hamilton-Jacobi equation by limiting variational methods. With a look to the stationary case.

, 2023
openWe consider two notions of weak solutions for the evolutive Hamilton-Jacobi equation: the viscosity and the variational solutions. For globally compactly supported Hamiltonians, we introduce iterative min-max procedures -for time intervals tending to
CAMPEDELLI, GAIA
core  

Covariant Hamilton–Jacobi Formulation of Electrodynamics via Polysymplectic Reduction and Its Relation to the Canonical Hamilton–Jacobi Theory

Mathematics
The covariant Hamilton–Jacobi formulation of electrodynamics is systematically derived from the first-order (Palatini-like) Lagrangian. This derivation utilizes the De Donder–Weyl covariant Hamiltonian formalism with constraints incroporating generalized
Cecile Barbachoux, Monika E. Pietrzyk, Igor V. Kanatchikov, Valery A. Kholodnyi, Joseph Kouneiher   +4 more
doaj   +1 more source

The study of lossy compressive method with different interpolation for holographic reconstruction in optical scanning holography

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 Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source

Hamilton-Jacobi equation in calculus of variations and applications to Huygens principle

, 2022
reservedLa tesi tratta nello specifico dell'utilizzo nel calcolo delle variazioni dell'equazione di Hamilton-Jacobi. Nel primo capitolo introduciamo gli oggetti fondamentali del calcolo delle variazioni, del formalismo Lagrangiano ed Hamiltoniano.
RIGATO, ENZO
core  

Reconstruction of Quantum Field Equations from Multi-Branch Hamilton–Jacobi Structures

Foundations
We develop a framework in which quantum field equations are reconstructed from a multi-branch Hamilton–Jacobi structure supplemented by density functionals on configuration space.
Cécile Barbachoux
doaj   +1 more source

Representation Formula for Solutions of Eikonal Type Equations

Nonlinear Analysis, 2001
Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mechanics, material sciences, and control theory. This article investigates the representation formula for semiconcave solutions of the boundary problem for ...
Gintautas Gudynas
doaj   +1 more source