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

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Greiner, Peter Charles (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2015]
Colección:Mathematical Notes ; 19
Temas:
Neumann problem.
MATHEMATICS / Differential Equations / Partial.
A priori estimate.
Abuse of notation.
Analytic continuation.
Analytic function.
Approximation.
Asymptotic expansion.
Asymptotic formula.
Basis (linear algebra).
Besov space.
Boundary (topology).
Boundary value problem.
Boundedness.
Calculation.
Cauchy's integral formula.
Cauchy-Riemann equations.
Change of variables.
Characterization (mathematics).
Combination.
Commutative property.
Commutator.
Complex analysis.
Complex manifold.
Complex number.
Computation.
Convolution.
Coordinate system.
Corollary.
Counterexample.
Derivative.
Determinant.
Differential equation.
Dimension (vector space).
Dimension.
Dimensional analysis.
Dirichlet boundary condition.
Eigenvalues and eigenvectors.
Elliptic boundary value problem.
Equation.
Error term.
Estimation.
Even and odd functions.
Existential quantification.
Function space.
Fundamental solution.
Green's theorem.
Half-space (geometry).
Hardy's inequality.
Heisenberg group.
Holomorphic function.
Infimum and supremum.
Integer.
Integral curve.
Integral expression.
Inverse function.
Invertible matrix.
Iteration.
Laplace's equation.
Left inverse.
Lie algebra.
Lie group.
Linear combination.
Logarithm.
Lp space.
Mathematical induction.
Neumann boundary condition.
Notation.
Open problem.
Orthogonal complement.
Orthogonality.
Parametrix.
Partial derivative.
Pointwise.
Polynomial.
Principal branch.
Principal part.
Projection (linear algebra).
Pseudo-differential operator.
Quantity.
Recursive definition.
Schwartz space.
Scientific notation.
Second derivative.
Self-adjoint.
Singular value.
Sobolev space.
Special case.
Standard basis.
Stein manifold.
Subgroup.
Subset.
Summation.
Support (mathematics).
Tangent bundle.
Theorem.
Theory.
Upper half-plane.
Variable (mathematics).
Vector field.
Volume element.
Weak solution.
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