An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach

DOI10.1016/j.jde.2018.10.023zbMath1429.35148arXiv1804.11107OpenAlexW2799204869MaRDI QIDQ1720299

Paolo Tilli, Lorenzo Tentarelli

Publication date: 8 February 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.11107

zbMATH Keywords

minimizationDe Giorgi conjecture

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Initial value problems for second-order hyperbolic equations (35L15) Abstract hyperbolic equations (35L90) Second-order quasilinear hyperbolic equations (35L72)

Related Items

Variational resolution of outflow boundary conditions for incompressible Navier–Stokes ⋮ On the weighted inertia-energy approach to forced wave equations ⋮ Stochastic PDEs via convex minimization ⋮ A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A minimization approach to hyperbolic Cauchy problems
• Nonlinear wave equations as limits of convex minimization problems: proof of a conjecture by De Giorgi
• A variational principle for nonpotential perturbations of gradient flows of nonconvex energies
• Finite-dimensional attractors for the quasi-linear strongly-damped wave equation
• Conjectures on some evolution problems
• A new minimum principle for Lagrangian mechanics
• Existence of evolutionary variational solutions via the calculus of variations
• Doubly Nonlinear Equations as Convex Minimization
• THE DE GIORGI CONJECTURE ON ELLIPTIC REGULARIZATION
• De Giorgi’s approach to hyperbolic Cauchy problems: The case of nonhomogeneous equations
• A variational approach to Navier–Stokes
• On the extensions of the De Giorgi approach to nonlinear hyperbolic equations
• On uniqueness and stability for supercritical nonlinear wave and Schrodinger equations
• Problèmes aux limites en théorie des distributions