Prof. Hans Wilhelm Alt: Script Analysis IV -- Heat operator

Diffusion operator

Diffusion operator

Linear differential operators

Linear differential operators

Wave operator

Wave operator

Wave operator

Index

© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany

Heat operator

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This is the original german version

Sei Ω= I×D⊂R×Rⁿ mit Variablen (t,x) . Für u∈C²(I×D) sei

L(u) :=∂_t u -

n

∑

i=1

∂_{x_i}² u .

Im Folgenden bezeichne Δ bei zeitabhängigen Problemen den LAPLACE-Operator bezüglich der Ortskoordinaten x₁,...,x_n . Dann ist

L(u) =∂_tu - Δu .

Version 1.5
H.W. Alt - 02.01.2007

Diffusion operator

Diffusion operator

Linear differential operators

Linear differential operators

Wave operator

Wave operator

Wave operator

Index

© 2002-2007 Prof. Dr. Hans Wilhelm Alt, University of Bonn, Germany