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The parabolic bellman equation

Nonlinear Analysis: Theory, Methods & Applications, 1981
where 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
openaire   +2 more sources

Source Identification for Parabolic Equations

Mathematics of Control, Signals, and Systems (MCSS), 2003
The 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
openaire   +1 more source

Local behaviour of solutions to parabolic equations parabolic equations

Communications in Partial Differential Equations, 1988
On 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
openaire   +1 more source

Parabolic Equations in Biology

2015
This 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 ...
openaire   +2 more sources

Parabolic equations

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
openaire   +1 more source

ON QUASILINEAR PARABOLIC EQUATIONS

Russian Mathematical Surveys, 1980
openaire   +3 more sources

Existence of solutions to nonlinear parabolic equations via majorant integral kernel

Nonlinear Analysis: Theory, Methods & Applications, 2022
Tatsuki Kawakami   +2 more
exaly  

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