Abstract
In Chapters 5 and 6 we discuss positivity and almost positivity for higher order boundary value problems. The goal of the present chapter is to provide the required estimates, which are also interesting in themselves. In order to avoid a too technical exposition, in many cases the discussion is restricted to fourth order problems. However, whenever it does not require too many additional distinctions, the general case of 2m-th order operators is also covered.
Keywords
- Green Function
- Dirichlet Problem
- Dirichlet Boundary Condition
- Kernel Estimate
- Smooth Domain
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2010 Springer-Verlag Berlin Heidelberg
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Gazzola, F., Grunau, HC., Sweers, G. (2010). Kernel Estimates. In: Polyharmonic Boundary Value Problems. Lecture Notes in Mathematics(), vol 1991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12245-3_4
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DOI: https://doi.org/10.1007/978-3-642-12245-3_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12244-6
Online ISBN: 978-3-642-12245-3
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