Estimates of the Neumann Problem
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A priori estimate
A01=Peter Charles Greiner
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Analytic continuation
Analytic function
Asymptotic expansion
Asymptotic formula
Author_Peter Charles Greiner
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Basis (linear algebra)
Besov space
Boundary (topology)
Boundary value problem
Calculation
Category1=Non-Fiction
Category=PBKJ
Cauchy's integral formula
Cauchy-Riemann equations
Change of variables
Characterization (mathematics)
Commutative property
Commutator
Computation
Convolution
Coordinate system
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Counterexample
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Derivative
Determinant
Differential equation
Dimension (vector space)
Dimensional analysis
Dirichlet boundary condition
Eigenvalues and eigenvectors
Elliptic boundary value problem
eq_isMigrated=2
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Equation
Estimation
Even and odd functions
Existential quantification
Function space
Fundamental solution
Hardy's inequality
Heisenberg group
Holomorphic function
Infimum and supremum
Integral curve
Invertible matrix
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Laplace's equation
Left inverse
Lie algebra
Lp space
Mathematical induction
Neumann boundary condition
Orthogonal complement
Orthogonality
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Parametrix
Partial derivative
Polynomial
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Principal part
Projection (linear algebra)
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Pseudo-differential operator
Recursive definition
Schwartz space
Scientific notation
Self-adjoint
Singular value
Sobolev space
softlaunch
Special case
Stein manifold
Subset
Summation
Support (mathematics)
Tangent bundle
Theorem
Variable (mathematics)
Vector field
Volume element
Product details
- ISBN 9780691643830
- Weight: 454g
- Dimensions: 152 x 235mm
- Publication Date: 19 Apr 2016
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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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.
