Green's formulas for cone differential operators

• Autores: Ingo Witt
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 12, 2007, págs. 5669-5696
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04082-2
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• Resumen

  • Green's formulas for elliptic cone differential operators are established. This is achieved by an accurate description of the maximal domain of an elliptic cone differential operator and its formal adjoint; thereby utilizing the concept of a discrete asymptotic type. From this description, the singular coefficients replacing the boundary traces in classical Green's formulas are deduced.