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Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Type

Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Type
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This volume deals with first and second order complex equations of hyperbolic and mixed (elliptic hyperbolic) type in which various general boundary value problems for first and second order linear and quasilinear complex equations of hyperbolic and mixed type are investigated in detail. In order to obtain results on complex equations of mixed type, some discontinous boundary value problems for elliptic complex equations are discussed. Complex analytical methods are used throughout. Mixed complex equations are included in the quasilinear case, and boundary value conditions are almost considered in the general oblique derivative case and multiply connected domains are considered in detail. Another feature is that complex analytical methods are used to investigate various problems about complex equations of both hyperbolic and mixed type. In particular, hyperbolic numbers and hyperbolic complex functions are introduced to handle hyperbolic complex equations.
CRC Press; August 2002
ISBN 9780203166581
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