scientific article; zbMATH DE number 7730357
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Publication:6133782
arXiv2106.08534MaRDI QIDQ6133782
Tao Tang, Dong Li, Chaoyu Quan, Wen Yang
Publication date: 21 August 2023
Full work available at URL: https://arxiv.org/abs/2106.08534
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Initial-boundary value problems for second-order parabolic equations (35K20) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Semilinear parabolic equations (35K58) Entire solutions to PDEs (35B08) Symmetries, invariants, etc. in context of PDEs (35B06)
Cites Work
- Unnamed Item
- On De Giorgi's conjecture in dimension \(N\geq 9\)
- On a conjecture of De Giorgi and some related problems
- On De Giorgi's conjecture: recent progress and open problems
- Global minimizers of the Allen-Cahn equation in dimension \(n\geq 8\)
- Stable solutions of the Allen-Cahn equation in dimension 8 and minimal cones
- A new proof of Savin's theorem on Allen-Cahn equations
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- On a frequency localized Bernstein inequality and some generalized Poincaré-type inequalities
- A gradient bound and a liouville theorem for nonlinear poisson equations
- Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
- Effective Maximum Principles for Spectral Methods
- On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property