Results 191 to 200 of about 3,240 (264)

Weights arising from parabolic partial differential equations

, 2016
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Regularity for nonlinear parabolic partial differential equations

, 2018
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Parabolic partial differential equations

1995
We now describe how to apply the finite element to parabolic partial differential equations. This is done by approximating the parabolic partial differential equation by either a sequence of ordinary differential equations or a sequence of elliptic partial differential equations.
J. Whiteley
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Hybrid‐driven‐based fuzzy secure filtering for nonlinear parabolic partial differential equation systems with cyber attacks

International Journal of Adaptive Control and Signal Processing, 2022
The problem of hybrid‐driven fuzzy filtering for nonlinear semi‐linear parabolic partial differential equation systems with dual cyber attacks is investigated.
Zhen Zhang, Xiaona Song, Xiangliang Sun, V. Stojanovic   +3 more
semanticscholar   +1 more source

Spatiotemporal adaptive state feedback control of a linear parabolic partial differential equation

International Journal of Robust and Nonlinear Control, 2023
This article deals with the issue of asymptotic stabilization for a linear parabolic partial differential equation (PDE) with an unknown space‐varying reaction coefficient and multiple local piecewise uniform control.
Jun‐Wei Wang, Jun‐min Wang
semanticscholar   +1 more source

Darboux transformations and linear parabolic partial differential equations

Journal of Physics A: Mathematical and General, 2002
Summary: Solutions for a class of linear parabolic partial differential equation are provided. These solutions are obtained by first solving a system of (\(n + 1\)) nonlinear partial differential equations. This system arises as the coefficients of a Darboux transformation and is equivalent to a matrix Burgers' equation.
Arrigo, Daniel J., Hickling, Fred
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Parabolic Partial Differential Equations

1997
In Chapter 2, Section 2.2, we showed how one can start with a transition probability function P(s, x; t, ·) and end up with a Markov process. The problem is: where does P(s, x; t, ·) come from? The example we gave there, namely: $$ P(s,x;t,\Gamma ) = \int\limits_\Gamma {g_d } \left( {t - s,y - x} \right)dy $$ (11) is a natural one from the ...
Daniel W. Stroock, S. R. Srinivasa Varadhan   +1 more
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Hypergeometric Functions and Parabolic Partial Differential Equations

Journal of Dynamical and Control Systems, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Partial differential equations II — parabolic equations

1986
The simplest parabolic differential equation is (6.3) or, as we normally meet it, (6.3a): $$\frac{{\partial u}}{{\partial t}} = a\frac{{{\partial ^2}u}}{{\partial {x^2}}}$$ (7.1) in which u is given as a function of a space variable x and of time t, and in which the coefficient a is a constant.
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Partial Differential Equations of Parabolic Type

2004
In the present chapter we consider the well-posedness of an abstract Cauchy problem for differential equations of parabolic type, $$v'(t) + A(t)v(t) = f(t)(0 \leqslant t \leqslant T),v(0) = {{v}_{0}}$$ in an arbitrary Banach space with the linear positive operators A(t).
Allaberen Ashyralyev, Pavel E. Sobolevskii   +1 more
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