Regularity and long-time behavior of nonlocal heat flows
From MaRDI portal
Publication:745566
DOI10.1007/s00526-015-0841-2zbMath1333.35103arXiv1311.7363OpenAlexW2040812841MaRDI QIDQ745566
Publication date: 14 October 2015
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.7363
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Regularity of solutions in optimal control (49N60)
Related Items
Optimal partition problems for the fractional Laplacian ⋮ A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species
- The limit equation for the Gross-Pitaevskii equations and S. Terracini's conjecture
- Regularity of the nodal set of segregated critical configurations under a weak reflection law
- On spectral minimal partitions: a survey
- Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames
- Nodal minimal partitions in dimension 3
- Nonlocal heat flows preserving the \(L^2\) energy
- Nodal domains and spectral minimal partitions
- An existence result for a class of shape optimization problems
- Gradient flows on nonpositively curved metric spaces and harmonic maps
- On a class of optimal partition problems related to the Fučík spectrum and to the monotonicity formulae
- Nehari's problem and competing species systems.
- An optimal partition problem related to nonlinear eigenvalues.
- Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
- On optimal shape design
- \(N\)-dimensional shape optimization under capacitary constraint
- The geometry of solutions to a segregation problem for nondivergence systems
- Asymptotic estimates for the spatial segregation of competitive systems
- An optimal partition problem for eigenvalues
- Dynamics of strongly competing systems with many species
- Nodal sets of solutions of elliptic and parabolic equations
- Singularly perturbed elliptic systems and multi-valued harmonic functions with free boundaries
- Qnique Continuation for
- A variational problem for the spatial segregation of reaction-diffusion systems
- Optimal Regularity and the Free Boundaryin the Parabolic Signorini Problem
- 𝑄 valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two
