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The parabolic bellman equation
Nonlinear Analysis: Theory, Methods & Applications, 1981where Q E Q x (0, T) for some smooth bounded domain Sz c [w”, apQ denotes the parabolic boundary of Q, and each L! is a second order, uniformly elliptic operator of the form Lku = -afj(x, t)uxixj + b;(x, t)u_ + ek(x, r)u (1 Oandall(x,t)EQ,~~IW”: ck > 0 (1 < k < m): and also (1.3)
Evans, Lawrence C., Lenhart, Suzanne
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Source Identification for Parabolic Equations
Mathematics of Control, Signals, and Systems (MCSS), 2003The authors treat an inverse problem of source identification in systems modeled by partial differential equations of parabolic type. The approach developed here is based on estimation theory for PDEs with bounded disturbances and Tikhonov regularization techniques.
Irina F. Sivergina +2 more
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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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Existence of solutions to nonlinear parabolic equations via majorant integral kernel
Nonlinear Analysis: Theory, Methods & Applications, 2022Tatsuki Kawakami +2 more
exaly

