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MARC 21

Linear holomorphic partial differential equations and classical potential theory
Tag	Description
020	$a9781470437800
082	$a515.9 (DDC 23)
099	$a517.95 KHA
100	$aKhavinson, Dmitry$d1956-
245	$aLinear holomorphic partial differential equations and classical potential theory$hM$cDmitry Khavinson, Erik Lundberg
260	$aProvidence, Rhode Island$bAmerican Mathematical Society$c2018
300	$aviii, 214 pages$bill.$c24 cm
440	$aMathematical surveys and monographs$v232
500	$aIntroduction: some motivating questions -- The Cauchy-Kovalevskaya theorem with estimates -- Remarks on the Cauchy-Kovalevskaya theorem -- Zerner's theorem -- The method of globalizing families -- Holmgren's uniqueness -- The continuity method of F. John -- The Bony-Schapira theorem -- Applications of the Bony-Schapira theorem -- The reflection principle -- The reflection principle (continued) -- Cauchy problems and the Schwarz potential conjecture -- The Schwarz potential conjecture for spheres -- Potential theory on ellipsoids: part I -- The mean value property -- Potential theory on ellipsoids: Part II -- There is no gravity in the cavity -- Potential theory on ellipsoids: part III -- The Dirichlet problem -- Singularities encountered by the analytic continuation of solutions to the Dirichlet problem -- An introduction to J. Leray's principle on propagation of singularities through Cn -- Global propagation of singularities in Cn -- Quadrature domains and Laplacian growth -- Other varieties of quadrature domains.
700	$aLundberg, Erik$d1983-