36 citations · 90 across the 8 of their papers we have counts for
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math.AP2013★ 5 cited
Sign-changing stationary solutions and blowup for the nonlinear heat equation in dimension two
Flavio Dickstrein, Filomena Pacella, Berardino Scunzi
Consider the nonlinear heat equation v_t-Δv=|v|^{p-1}v in the unit ball of R^2, with Dirichlet boundary condition. Let u_{p,K} be a radially symmetric, sign-changing stationary sol…
math.AP2013★ 13 cited
Standing waves of the complex Ginzburg-Landau equation
Thierry Cazenave, Flávio Dickstein, Fred B. Weissler
We prove the existence of nontrivial standing wave solutions of the complex Ginzburg-Landau equation with periodic boundary conditions. Our result…