The heat equation for the $$\bar \partial - Neumann$$ problem in a strictly pseudoconvex Siegel domainproblem in a strictly pseudoconvex Siegel domain
Identifieur interne : 000060 ( Istex/Curation ); précédent : 000059; suivant : 000061The heat equation for the $$\bar \partial - Neumann$$ problem in a strictly pseudoconvex Siegel domainproblem in a strictly pseudoconvex Siegel domain
Auteurs : Nancy K. Stanton [États-Unis]Source :
- Journal d’Analyse Mathématique [ 0021-7670 ] ; 1980-12-01.
English descriptors
- Teeft :
- Acta math, Asymptotic, Asymptotic behavior, Boundary condition, Boundary conditions, Boundary value, Classical method, Coefficient, Compact sets, Compact support, Constant coefficient, Convergence, Correction term, Dual basis, Elliptic, Elliptic operator, Explicit formula, First term, Formal adjoint, Fourier, Fourier inversion, Functional analysis, Fundamental solution, Fundamental solutions, Gaussian kernel, Global basis, Half space, Heat equation, Heat equation proof, Heat kernel, Heisenberg, Heisenberg group, Initial value, Initial value problem, Interchange order, Interior problem, Kernel, Last expression, Lebesgue measure, Level surfaces, Main result, Neumann boundary conditions, Nonelliptic, Nonelliptic boundary condition, Poisson, Poisson kernel, Poisson operator, Polynomial coefficients, Positive extension, Positive integer, Positive operators, Princeton university press, Right side, Semigroup property, Siegel domain, Stanton, Uniform convergence, Value problems, Vector fields.
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DOI: 10.1007/BF03033878
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<term>Classical method</term>
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<term>Compact support</term>
<term>Constant coefficient</term>
<term>Convergence</term>
<term>Correction term</term>
<term>Dual basis</term>
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<term>Elliptic operator</term>
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<term>Last expression</term>
<term>Lebesgue measure</term>
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<term>Nonelliptic boundary condition</term>
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<term>Poisson kernel</term>
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