Stability of Travelling Fronts of the Fisher-KPP Equation in $$\mathbb {R}^{N}$$

Convergence of solutions of the Kolmogorov equation to travelling waves

Maury Bramson · Memoirs of the American Mathematical Society · 1983 · 629 citations

Nonlinear Hyperbolic Problem, Periodic Travelling Wave, Integrable System +3

On the stability of waves of nonlinear parabolic systems

D. H. Sattinger · Advances in Mathematics · 1976 · 564 citations

Parabolic Equation, Nonlinear Hyperbolic Problem, Hyperbolic Equation +2

Entire solutions of the KPP equation

François Hamel, Nikolaï Nadirashvili · Communications on Pure and Applied Mathematics · 1999 · 121 citations

Spectral Theory, Other Manifolds, Engineering +10

Weighted norms for the stability of traveling waves

D. H. Sattinger · Journal of Differential Equations · 1977 · 91 citations

Engineering, Stability, Weighted Norms +3

Local stability of critical fronts in nonlinear parabolic partial differential equations

Thierry Gallay · Nonlinearity · 1994 · 88 citations

Parabolic Equations, Hyperbolic Conservation Law, Parabolic Equation +8