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math-ph2004★ 27 cited
On nonlinear partial differential equations with an infinite-dimensional conditional symmetry
Roman Cherniha, Malte Henkel
The invariance of nonlinear partial differential equations under a certain infinite-dimensional Lie algebra A_N(z) in N spatial dimensions is studied. The special case A_1(2) was i…
math-ph2003
On lower bounds of the solutions of some simple reaction-diffusion equations
Malte Henkel
The mean-field reaction-diffusion equations of the diffusive pair-annihilation and triplett-annihilation processes are considered. A direct lower bound on the time-dependent mean p…