Abstract
These lectures will be concerned with equations (and systems of equations) which are “close” to elliptic. By this we mean that they are limits of elliptic ones; such as, for example, the heat equation can be expressed as the following limit:
We will call this phenomenon degenerate ellipticity. The emphasis here will be on L2-methods, we will be studying our equations by means of the following variational problem. Let Ω be a domain in ℝn and let D be a set of m-tuples of functions on Ω. Let Ω be a quadratic form on D given by:
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Kohn, J.J. (2010). Lectures on Degenerate Elliptic Problems. In: Avantaggiati, A. (eds) Pseudodifferential Operators with Applications. C.I.M.E. Summer Schools, vol 75. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11092-4_5
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