Viscosity solutions for weakly coupled systems of first-order partial differential equations

DOI10.1016/0022-247X(88)90199-0zbMath0661.35011WikidataQ60231299 ScholiaQ60231299MaRDI QIDQ1113000

Suzanne M. Lenhart

Publication date: 1988

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

maximum principleexistenceuniquenessviscosity solutionsweakly coupled systems

Mathematics Subject Classification ID

Related Items (16)

Random Lax-Oleinik semigroups for Hamilton-Jacobi systems ⋮ Viscosity solutions for monotone systems of second–order elliptic PDES ⋮ Uniqueness of viscosity solutions for monotone systems of fully nonlinear PDES under Dirichlet condition ⋮ On the rate of convergence of solutions in free boundary problems via penalization ⋮ A nonlinear model and viscosity solution for the temperature field of an oil-immersed self-cooled three-phrase transformer ⋮ User’s guide to viscosity solutions of second order partial differential equations ⋮ Generalized differential games ⋮ Viscosity solutions of fully nonlinear parabolic systems. ⋮ On the monotonicity property of the generalized eigenvalue for weakly-coupled cooperative elliptic systems ⋮ Large‐scale asymptotics of velocity‐jump processes and nonlocal Hamilton–Jacobi equations ⋮ Viscosity solution of mean-variance portfolio selection of a jump Markov process with no-shorting constraints ⋮ Numerical homogenization of a second order discrete model for traffic flow ⋮ Viscosity solutions of nonlinear systems of degenerated elliptic equations of second order ⋮ A convergent scheme for a non-local coupled system modelling dislocations densities dynamics ⋮ Homogenization of a discrete model for a bifurcation and application to traffic flow ⋮ Homogenization of accelerated Frenkel-Kontorova models with $n$ types of particles

Cites Work

• Unnamed Item
• A maximum principle for weakly coupled systems of second order partial differential equations with nonnegative characteristic form
• Random evolutions: A survey of results and problems
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Semilinear approximation technique for max-min type Hamilton-Jacobi equations over finite max-min index set
• Viscosity Solutions of Hamilton-Jacobi Equations
• Optimal Switching for Ordinary Differential Equations
• Periodic solutions of certain variational inequalities
• Optimal Stochastic Switching and the Dirichlet Problem for the Bellman Equation
• Systems of second order equations with nonnegative characteristic form

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