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035   $a(DE-B1597)9781400881529
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100   $a20190708d2016      fg              
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe Neumann Problem for the Cauchy-Riemann Complex. (AM-75), Volume 75 /$fJoseph John Kohn, Gerald B. Folland
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$dİ1973
215   $a1 online resource (157 pages)
225 0 $aAnnals of Mathematics Studies ;$v234
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-691-08120-4 
320   $aIncludes bibliographical references and index.
327   $tFrontmatter -- $tFOREWORD -- $tTABLE OF CONTENTS -- $tCHAPTER I. FORMULATION OF THE PROBLEM -- $tCHAPTER II. THE MAIN THEOREM -- $tCHAPTER III. INTERPRETATION OF THE MAIN THEOREM -- $tCHAPTER IV. APPLICATIONS -- $tCHAPTER V. THE BOUNDARY COMPLEX -- $tCHAPTER VI. OTHER METHODS AND RESULTS -- $tAPPENDIX: THE FUNCTIONAL ANALYSIS OF DIFFERENTIAL OPERATORS -- $tREFERENCES -- $tTERMINOLOGICAL INDEX -- $tTERMINOLOGICAL INDEX
330   $aPart explanation of important recent work, and part introduction to some of the techniques of modern partial differential equations, this monograph is a self-contained exposition of the Neumann problem for the Cauchy-Riemann complex and certain of its applications. The authors prove the main existence and regularity theorems in detail, assuming only a knowledge of the basic theory of differentiable manifolds and operators on Hilbert space. They discuss applications to the theory of several complex variables, examine the associated complex on the boundary, and outline other techniques relevant to these problems. In an appendix they develop the functional analysis of differential operators in terms of Sobolev spaces, to the extent it is required for the monograph.
410  0$aAnnals of mathematics studies ;$vNumber 75.
606   $aNeumann problem
606   $aDifferential operators
606   $aComplex manifolds
610   $aA priori estimate.
610   $aAlmost complex manifold.
610   $aAnalytic function.
610   $aApply.
610   $aApproximation.
610   $aBernhard Riemann.
610   $aBoundary value problem.
610   $aCalculation.
610   $aCauchy?Riemann equations.
610   $aCohomology.
610   $aCompact space.
610   $aComplex analysis.
610   $aComplex manifold.
610   $aCoordinate system.
610   $aCorollary.
610   $aDerivative.
610   $aDifferentiable manifold.
610   $aDifferential equation.
610   $aDifferential form.
610   $aDifferential operator.
610   $aDimension (vector space).
610   $aDirichlet boundary condition.
610   $aEigenvalues and eigenvectors.
610   $aElliptic operator.
610   $aEquation.
610   $aEstimation.
610   $aEuclidean space.
610   $aExistence theorem.
610   $aExterior (topology).
610   $aFinite difference.
610   $aFourier analysis.
610   $aFourier transform.
610   $aFrobenius theorem (differential topology).
610   $aFunctional analysis.
610   $aHilbert space.
610   $aHodge theory.
610   $aHolomorphic function.
610   $aHolomorphic vector bundle.
610   $aIrreducible representation.
610   $aLine segment.
610   $aLinear programming.
610   $aLocal coordinates.
610   $aLp space.
610   $aManifold.
610   $aMonograph.
610   $aMulti-index notation.
610   $aNonlinear system.
610   $aOperator (physics).
610   $aOverdetermined system.
610   $aPartial differential equation.
610   $aPartition of unity.
610   $aPotential theory.
610   $aPower series.
610   $aPseudo-differential operator.
610   $aPseudoconvexity.
610   $aPseudogroup.
610   $aPullback.
610   $aRegularity theorem.
610   $aRemainder.
610   $aScientific notation.
610   $aSeveral complex variables.
610   $aSheaf (mathematics).
610   $aSmoothness.
610   $aSobolev space.
610   $aSpecial case.
610   $aStatistical significance.
610   $aSturm?Liouville theory.
610   $aSubmanifold.
610   $aTangent bundle.
610   $aTheorem.
610   $aUniform norm.
610   $aVector field.
610   $aWeight function.
615  0$aNeumann problem.
615  0$aDifferential operators.
615  0$aComplex manifolds.
676   $a515/.353
700   $aFolland$b Gerald B., $041512
702   $aKohn$b Joseph John, 
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154743903321
996   $aThe Neumann Problem for the Cauchy-Riemann Complex. (AM-75), Volume 75$92839576
997   $aUNINA