Titlebook: A Primer on PDEs; Models, Methods, Sim Sandro Salsa,Federico M. G. Vegni,Paolo Zunino Textbook 2013 Springer-Verlag Milan 2013 Analysis.Par

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Albrecht B?ttcher,Bernd SilbermannIn this chapter we consider equations of the form

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Three-Way Nested Classification,In . we have considered the diffusion equation and some of its generalizations, as in the reaction-diffusion model (.). This kind of equation belongs to the class of ., that we have already classified in spatial dimension 1, in ., and that we are going to define in a more general setting.

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General ,-Way Nested Classification,.. The problem is analyzed in Section 2.3.3. Its solution is given by (2.34):

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Advances in Geographic Information Sciencee steady state temperature of a homogeneous and isotropic body is a harmonic function and in this case Laplace equation constitutes the stationary counterpart (time independent) of the diffusion equation.

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