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Local behaviour of solutions to parabolic equations parabolic equations
Communications in Partial Differential Equations, 1988On considere u solution de l'equation lineaire uniformement parabolique u t −∑ i,j=1 N a ij u xixj −∑ i=1 n b i u xd i−cu=0 dans un voisinage de (o,o)∈R n+1 , ou les coefficients a ij sont continus de Holder et les coefficients b i , c sont bornes et mesurables. On demontre que, soit: u a un zero d'ordre infini quand (x,t)→(o,o); soit: il existe N=0,
Giovanni Alessandrini, Sergio Vessela
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Parabolic Equations in Biology
2015This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions ...
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2003
Abstract As we have already mentioned, and as this chapter emphasises, parabolic equations probably occur more commonly than any other type of partial differential equation in applied science. However, that is not the only reason why this chapter is one of the longest of the book.
John Ockendon +3 more
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Abstract As we have already mentioned, and as this chapter emphasises, parabolic equations probably occur more commonly than any other type of partial differential equation in applied science. However, that is not the only reason why this chapter is one of the longest of the book.
John Ockendon +3 more
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The tanh–coth method for solitons and kink solutions for nonlinear parabolic equations
Applied Mathematics and Computation, 2007Abdul-Majid Wazwaz
exaly