THE DE GIORGI CONJECTURE ON ELLIPTIC REGULARIZATION
From MaRDI portal
Publication:3087524
DOI10.1142/S0218202511005350zbMath1228.35023arXiv1010.3543OpenAlexW2003659566WikidataQ123300579 ScholiaQ123300579MaRDI QIDQ3087524
Publication date: 16 August 2011
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.3543
Initial-boundary value problems for second-order hyperbolic equations (35L20) Singular perturbations in context of PDEs (35B25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Second-order semilinear hyperbolic equations (35L71)
Related Items (23)
Variational resolution of outflow boundary conditions for incompressible Navier–Stokes ⋮ A minimization approach to hyperbolic Cauchy problems ⋮ A variational view at the time-dependent minimal surface equation ⋮ The weighted energy-dissipation principle and evolutionary Γ-convergence for doubly nonlinear problems ⋮ On the weighted inertia-energy approach to forced wave equations ⋮ Nonlinear wave equations as limits of convex minimization problems: proof of a conjecture by De Giorgi ⋮ A new minimum principle for Lagrangian mechanics ⋮ De Giorgi’s approach to hyperbolic Cauchy problems: The case of nonhomogeneous equations ⋮ Existence of evolutionary variational solutions via the calculus of variations ⋮ An existence result for dissipative nonhomogeneous hyperbolic equations via a minimization approach ⋮ Dynamic Perfect Plasticity as Convex Minimization ⋮ A variational approach to doubly nonlinear equations ⋮ Variational methods for evolution. Abstracts from the workshop held November 12--18, 2017 ⋮ A variational principle for nonpotential perturbations of gradient flows of nonconvex energies ⋮ A variational approach to Navier–Stokes ⋮ Weighted energy-dissipation approach to doubly nonlinear problems on the half line ⋮ A variational approach to symmetry, monotonicity, and comparison for doubly-nonlinear equations ⋮ Stochastic PDEs via convex minimization ⋮ A variational approach to parabolic equations under general and \(p,q\)-growth conditions ⋮ Weighted energy-dissipation principle for gradient flows in metric spaces ⋮ Existence of variational solutions to doubly nonlinear nonlocal evolution equations via minimizing movements ⋮ A Time Dependent Variational Approach to Image Restoration ⋮ Existence of variational solutions to nonlocal evolution equations via convex minimization
Cites Work
- Unnamed Item
- Existence of traveling waves of invasion for Ginzburg-Landau-type problems in infinite cylinders
- A variational principle for doubly nonlinear evolution
- Front propagation in infinite cylinders. I: A variational approach
- Minimum principles for the trajectories of systems governed by rate problems
- Conjectures on some evolution problems
- Front propagation in infinite cylinders. II: The sharp reaction zone limit
- Weighted energy-dissipation functionals for gradient flows
- A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems
This page was built for publication: THE DE GIORGI CONJECTURE ON ELLIPTIC REGULARIZATION