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On Dirichlet's boundary value problem for some formally hypoelliptic differntial operators
Published online by Cambridge University Press: 09 April 2009
Abstract
For a class of formally hypoelliptic differential operators in divergence form we prove a generalized Gårding inequality. Using this inequality and further properties of the sesquilinear form generated by the differential operator a generalized homogeneous Dirichlet problem is treated in a suitable Hilbert space. In particular Fredholm's alternative theorem is proved to be valid.
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- Research Article
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- Copyright © Australian Mathematical Society 1988
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