Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources

Francesco Tulone; Gianmaria Verzini; Sandro Salsa

Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources

Francesco Tulone, Gianmaria Verzini, Sandro Salsa

Matematica e Informatica

Risultato della ricerca: Article › peer review

1 Citazioni (Scopus)

Abstract

In this paper we construct a viscosity solution of a two-phase free boundary problem for a class of fully nonlinear equation with distributed sources, via an adaptation of the Perron method. Our results extend those in [Caffarelli, 1988], [Wang, 2003] for the homogeneous case, and of [De Silva, Ferrari, Salsa, 2015] for divergence form operators with right hand side.

Lingua originale	English
pagine (da-a)	147-173
Numero di pagine	27
Rivista	Mathematics In Engineering
Volume	1
Stato di pubblicazione	Published - 2018

All Science Journal Classification (ASJC) codes

???subjectarea.asjc.2600.2604???
???subjectarea.asjc.2600.2610???
???subjectarea.asjc.2600.2603???

Altri file e collegamenti

OA Link

Cita questo

@article{50a67f6758674e2b869c39ac55965885,

title = "Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources",

abstract = "In this paper we construct a viscosity solution of a two-phase free boundary problem for a class of fully nonlinear equation with distributed sources, via an adaptation of the Perron method. Our results extend those in [Caffarelli, 1988], [Wang, 2003] for the homogeneous case, and of [De Silva, Ferrari, Salsa, 2015] for divergence form operators with right hand side.",

author = "Francesco Tulone and Gianmaria Verzini and Sandro Salsa",

year = "2018",

language = "English",

volume = "1",

pages = "147--173",

journal = "Mathematics In Engineering",

issn = "2640-3501",

publisher = "American Institute of Mathematical Sciences",

}

TY - JOUR

T1 - Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources

AU - Tulone, Francesco

AU - Verzini, Gianmaria

AU - Salsa, Sandro

PY - 2018

Y1 - 2018

N2 - In this paper we construct a viscosity solution of a two-phase free boundary problem for a class of fully nonlinear equation with distributed sources, via an adaptation of the Perron method. Our results extend those in [Caffarelli, 1988], [Wang, 2003] for the homogeneous case, and of [De Silva, Ferrari, Salsa, 2015] for divergence form operators with right hand side.

AB - In this paper we construct a viscosity solution of a two-phase free boundary problem for a class of fully nonlinear equation with distributed sources, via an adaptation of the Perron method. Our results extend those in [Caffarelli, 1988], [Wang, 2003] for the homogeneous case, and of [De Silva, Ferrari, Salsa, 2015] for divergence form operators with right hand side.

UR - http://hdl.handle.net/10447/424616

M3 - Article

VL - 1

SP - 147

EP - 173

JO - Mathematics In Engineering

JF - Mathematics In Engineering

SN - 2640-3501

ER -

Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources

Abstract

All Science Journal Classification (ASJC) codes

Altri file e collegamenti

Fingerprint

Cita questo