Estimates of the Neumann Problem. (MN-19), Volume 19 /

Estimates of the Neumann Problem. (MN-19), Volume 19 / / Peter Charles Greiner.

The ∂̄ Neumann problem is probably the most important and natural example of a non-elliptic boundary value problem, arising as it does from the Cauchy-Riemann equations. It has been known for some time how to prove solvability and regularity by the use of L2 methods. In this monograph the authors ap...

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Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979
VerfasserIn:
Greiner, Peter Charles,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2015]
©1977
Year of Publication:2015
Language:English
Series:Mathematical Notes ; 19
Online Access:
Physical Description:1 online resource (202 p.)
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100 1 |a Greiner, Peter Charles,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Estimates of the Neumann Problem. (MN-19), Volume 19 /  |c Peter Charles Greiner. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2015] 
264 4 |c ©1977 
300 |a 1 online resource (202 p.) 
336 |a text  |b txt  |2 rdacontent 
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490 0 |a Mathematical Notes ;  |v 19 
505 0 0 |t Frontmatter --   |t Preface --   |t Table of Contents --   |t Introduction --   |t Part I. Analysis on the Heisenberg group --   |t Part II. Parametrix for the ∂̄ -Neumann problem --   |t Part III. The Estimates --   |t Principal notations --   |t References --   |t Backmatter 
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520 |a The ∂̄ Neumann problem is probably the most important and natural example of a non-elliptic boundary value problem, arising as it does from the Cauchy-Riemann equations. It has been known for some time how to prove solvability and regularity by the use of L2 methods. In this monograph the authors apply recent methods involving the Heisenberg group to obtain parametricies and to give sharp estimates in various function spaces, leading to a better understanding of the ∂̄ Neumann problem. The authors have added substantial background material to make the monograph more accessible to students.Originally published in 1977.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Neumann problem. 
650 7 |a MATHEMATICS / Differential Equations / Partial.  |2 bisacsh 
653 |a A priori estimate. 
653 |a Abuse of notation. 
653 |a Analytic continuation. 
653 |a Analytic function. 
653 |a Approximation. 
653 |a Asymptotic expansion. 
653 |a Asymptotic formula. 
653 |a Basis (linear algebra). 
653 |a Besov space. 
653 |a Boundary (topology). 
653 |a Boundary value problem. 
653 |a Boundedness. 
653 |a Calculation. 
653 |a Cauchy's integral formula. 
653 |a Cauchy-Riemann equations. 
653 |a Change of variables. 
653 |a Characterization (mathematics). 
653 |a Combination. 
653 |a Commutative property. 
653 |a Commutator. 
653 |a Complex analysis. 
653 |a Complex manifold. 
653 |a Complex number. 
653 |a Computation. 
653 |a Convolution. 
653 |a Coordinate system. 
653 |a Corollary. 
653 |a Counterexample. 
653 |a Derivative. 
653 |a Determinant. 
653 |a Differential equation. 
653 |a Dimension (vector space). 
653 |a Dimension. 
653 |a Dimensional analysis. 
653 |a Dirichlet boundary condition. 
653 |a Eigenvalues and eigenvectors. 
653 |a Elliptic boundary value problem. 
653 |a Equation. 
653 |a Error term. 
653 |a Estimation. 
653 |a Even and odd functions. 
653 |a Existential quantification. 
653 |a Function space. 
653 |a Fundamental solution. 
653 |a Green's theorem. 
653 |a Half-space (geometry). 
653 |a Hardy's inequality. 
653 |a Heisenberg group. 
653 |a Holomorphic function. 
653 |a Infimum and supremum. 
653 |a Integer. 
653 |a Integral curve. 
653 |a Integral expression. 
653 |a Inverse function. 
653 |a Invertible matrix. 
653 |a Iteration. 
653 |a Laplace's equation. 
653 |a Left inverse. 
653 |a Lie algebra. 
653 |a Lie group. 
653 |a Linear combination. 
653 |a Logarithm. 
653 |a Lp space. 
653 |a Mathematical induction. 
653 |a Neumann boundary condition. 
653 |a Notation. 
653 |a Open problem. 
653 |a Orthogonal complement. 
653 |a Orthogonality. 
653 |a Parametrix. 
653 |a Partial derivative. 
653 |a Pointwise. 
653 |a Polynomial. 
653 |a Principal branch. 
653 |a Principal part. 
653 |a Projection (linear algebra). 
653 |a Pseudo-differential operator. 
653 |a Quantity. 
653 |a Recursive definition. 
653 |a Schwartz space. 
653 |a Scientific notation. 
653 |a Second derivative. 
653 |a Self-adjoint. 
653 |a Singular value. 
653 |a Sobolev space. 
653 |a Special case. 
653 |a Standard basis. 
653 |a Stein manifold. 
653 |a Subgroup. 
653 |a Subset. 
653 |a Summation. 
653 |a Support (mathematics). 
653 |a Tangent bundle. 
653 |a Theorem. 
653 |a Theory. 
653 |a Upper half-plane. 
653 |a Variable (mathematics). 
653 |a Vector field. 
653 |a Volume element. 
653 |a Weak solution. 
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912 |a 978-3-11-042684-7 Princeton Legacy Lib. eBook Package 1931-1979  |c 1931  |d 1979 
912 |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999  |c 1927  |d 1999 
912 |a 978-3-11-066592-5 Princeton University Press Complete eBook-Package 2014-2015  |c 2014  |d 2015 
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