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Abstract

The regularity of the solutions of the heat equation

$$ \frac{{\partial u}}{{\partial t}} = \Delta u $$

with suitable boundary conditions in different types of function spaces is an impor-tant issue in many applications to problems coming from Physics and Engineering.

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Favini, A., Goldstein, G.R., Goldstein, J.A., Obrecht, E., Romanelli, S. (2003). The Laplacian with Generalized Wentzell Boundary Conditions. In: Iannelli, M., Lumer, G. (eds) Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics. Progress in Nonlinear Differential Equations and Their Applications, vol 55. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8085-5_13

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  • DOI: https://doi.org/10.1007/978-3-0348-8085-5_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9433-3

  • Online ISBN: 978-3-0348-8085-5

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