Blow-up problems for a semilinear heat equation with large diffusion

On the “Hot Spots” Conjecture of J. Rauch

Rodrigo Bañuelos, Krzysztof Burdzy · Journal of Functional Analysis · 1999 · 175 citations

Natural Sciences, Mathematics, Physics +3

Solution of a nonlinear heat equation with arbitrarily given blow‐up points

Frank Merle · Communications on Pure and Applied Mathematics · 1992 · 101 citations

Natural Sciences, Mechanical Engineering, Fluid Dynamics +12

A Counterexample to the "Hot Spots" Conjecture

Krzysztof Burdzy, Wendelin Werner · Annals of Mathematics · 1999 · 101 citations

Natural Sciences, Computational Engineering, Topology +11

The “hot spots” conjecture for domains with two axes of symmetry

David Jerison, Nikolaï Nadirashvili · Journal of the American Mathematical Society · 2000 · 93 citations · Full text

Natural Sciences, Mechanical Engineering, Computational Geometry +12

Stability of the blow-up profile of non-linear heat equations from the dynamical system point of view

Clotilde Fermanian Kammerer, Franck Merle, Hatem Zaag · Mathematische Annalen · 2000 · 71 citations

Natural Sciences, Physics, Dynamical Systems +13