Research
On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

Trend · papers per month

1122 · May 202619922001200920172026
4 results for Fisher-KPP

Global gradient estimates for Fisher-KPP equation on Finsler metric measure spaces.

problem Establishing gradient estimates for the Finslerian Fisher-KPP equation.
method Global gradient estimates on compact and noncompact Finsler metric measure spaces using the traditional CD(K,N)CD(K,N) condition and new comparison theorems.
result Global gradient estimates for positive solutions of the Finslerian Fisher-KPP equation.

Study traveling waves in hyperbolic space for Fisher-KPP equations.

problem Understanding wave behavior in hyperbolic space for Fisher-KPP equations.
method Analyzes the Cauchy problem in hyperbolic space for heat equation with Fisher-KPP forcing term.
result Proves new results on the dichotomy of solution propagation or vanishing based on diffusion and reaction strength.

Study gradient estimates for nonlinear parabolic equations on Riemannian manifolds.

problem Estimating gradients for nonlinear parabolic equations on Riemannian manifolds.
method Analyzes Fisher-KPP, parabolic Allen-Cahn, and Newell-Whitehead equations on complete noncompact Riemannian manifolds.
result Gradient estimates for positive solutions and Liouville theorem for ancient solutions.

Develops geometric framework for dissipative field equations.

problem Dissipative field equations and their geometric analysis.
method Canonical kk-contact manifolds, kk-contactifications, splitting results, regularity conditions, criteria for PDEs.
result Explicit Hamiltonian descriptions for various nonlinear PDEs.