Boundary Value Problems and Singular Pseudo-Differential Operators

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Wiley, Feb 4, 1998 - Mathematics - 656 pages
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Boundary Value Problems and Singular Pseudo-differential Operators covers the analysis of pseudo-differential operators on manifolds with conical points and edges. The standard singular integral operators on the half-axis as well as boundary value problems on smooth manifolds are treated as particular cone and wedge theories. Particular features of the book are: * A self-contained presentation of the cone pseudo-differential calculus * A general method for pseudo-differential analysis on manifolds with edges for arbitrary model cones in spaces with discrete and continuous asymptoties * The presentation of the algebra of boundary value problems with the transmission property, obtained as a modification of the general wedge theory * A new exposition of the pseudo-differential calculus with operator-valued symbols, based on twisted homogeneity as well as on parameter-dependent theories and reductions of orders. The coverage of this book helps to enrich the general theory of partial differential equations, thus making it essential reading for researchers and practitioners in mathematics, physics and the applied sciences. Contents: Preface Pseudo-differential operators Mellin pseudo-differential operators on manifolds with conical singularities Pseudo-differential calculus on manifolds with edges Boundary value problems Bibliography Index

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Pseudodifferential operators
Mellin pseudodifferential operators on manifolds with
Pseudodifferential calculus on manifolds with edges

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About the author (1998)

Dr Lisa Powell is a clinical professor at the University of Minnesota Veterinary Medical Center, US. Dr Elizabeth Rozanski and Dr John Rush are clinical professors at Tufts University Cummings School of Veterinary Medicine, US. All three are board-certified Diplomates of the American College of Veterinary Emergency and Critical Care, and have 50 years of emergency and critical care experience between them. The authors have practiced in institutions that provide advanced diagnostic techniques, 24-hour emergency and intensive care medicine, and training of both professional veterinary students and post-doctorate veterinarians seeking specialty certification in veterinary emergency and critical care. Dr Rush is also board-certified in veterinary cardiology, and Dr Rozanski is board-certified in veterinary internal medicine.

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