Adjoints of elliptic cone operators

By Juan B. Gil, G. Mendoza. 2001

94 citations recorded by the source corpus.

We study the adjointness problem for the closed extensions of a general b -elliptic operator A ∈ x -ν Diff m b ( M ; E ), ν 0, initially defined as an unbounded operator A : C ∞ c ( M ; E ) ∈ x μ L 2 b ( M ; E ) → x μ L 2 b ( M ; E ), μ ∈ [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]. The case where A is a symmetric semibounded operator is of particular interest, and we give a complete description of the domain of the Friedrichs extension of such an operator.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3b0ebf584028ca0cc005252b86531cfb63b008e2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Elmar Schrohe
2. J. Seiler
3. Rafe Mazzeo
4. T. Krainer
5. Eugénie Hunsicker
6. Juan B. Gil
7. G. Mendoza
8. Gerd Grubb

In Computational Theory and Mathematics

1. Elmar Schrohe
2. J. Seiler
3. T. Krainer
4. Rafe Mazzeo
5. G. Mendoza
6. Juan B. Gil
7. Eugénie Hunsicker

In Mathematical Physics

1. Elmar Schrohe
2. J. Seiler
3. Rafe Mazzeo
4. T. Krainer
5. G. Mendoza
6. Juan B. Gil
7. Eugénie Hunsicker
8. Gerd Grubb

Citations in the corpus

• The Resolvent of Closed Extensions of Cone Differential Operators (2002, methodology): “Gil and Mendoza [10] call such a domain saturated.”
• Resolvents of elliptic cone operators (2004, methodology): “1 of [7] gives that the minimal and maximal domains of A− λ are those of A.”
• Harmonic forms on manifolds with edges (2005, background): “Because this is not central to our discussion, we leave details to the reader (and refer to [10] for a thorough discussion of the conic case).”