INVESTIGADORES
OCHOA Pablo Daniel
artículos
Título:
Existence and Uniqueness results for linear second-order equations in the Heisenberg group
Autor/es:
PABLO OCHOA; JULIO RUIZ
Revista:
ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA
Editorial:
SUOMALAINEN TIEDEAKATEMIA
Referencias:
Año: 2017
ISSN:
1239-629X
Resumen:
In this manuscript, we prove uniqueness and existence results of vis- cosity solutions for a class of linear second-order equations in the Heisenberg group. We state uniqueness by proving a comparison result to our class of equa- tions, and existence via an application of Perron?s method adapted to our frame- work. We also provide the explicit construction of the appropriate sub- and super- solutions employed by Perron?s method for a variety of domains in the Heisenberg group.
