We present a survey of recent results on existence, uniqueness and non-existence for boundary value problems for equations of mixed elliptic-hyperbolic type. The common technical feature is the use of suitable integral identities and estimates that arise from well chosen multipliers which are the infinitesimal generator of an invariance or almost invariance of the differential equation.
Multiplier methods for mixed type equations / K.R. Payne. - In: INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS. - ISSN 0973-1377. - 8:M07(2007), pp. 58-75.
Multiplier methods for mixed type equations
K.R. PaynePrimo
2007
Abstract
We present a survey of recent results on existence, uniqueness and non-existence for boundary value problems for equations of mixed elliptic-hyperbolic type. The common technical feature is the use of suitable integral identities and estimates that arise from well chosen multipliers which are the infinitesimal generator of an invariance or almost invariance of the differential equation.
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