TY - JOUR

T1 - Singular perturbation problem in boundary/fractional combustion to our friend Juan-Luis Vázquez for his 70th birthday

AU - Petrosyan, Arshak

AU - Shi, Wenhui

AU - Sire, Yannick

PY - 2016/6/1

Y1 - 2016/6/1

N2 - Motivated by a nonlocal free boundary problem, we study uniform properties of solutions to a singular perturbation problem for a boundary-reaction–diffusion equation,
where the reaction term is of combustion type. This boundary problem is related to
the fractional Laplacian. After an optimal uniform H¨older regularity is shown, we
pass to the limit to study the free boundary problem it leads to.

AB - Motivated by a nonlocal free boundary problem, we study uniform properties of solutions to a singular perturbation problem for a boundary-reaction–diffusion equation,
where the reaction term is of combustion type. This boundary problem is related to
the fractional Laplacian. After an optimal uniform H¨older regularity is shown, we
pass to the limit to study the free boundary problem it leads to.

KW - Fractional/boundary reaction-diffusion problem

KW - Singular perturbation problem

KW - Uniform estimates

UR - http://www.scopus.com/inward/record.url?scp=84956669921&partnerID=8YFLogxK

U2 - 10.1016/j.na.2015.12.019

DO - 10.1016/j.na.2015.12.019

M3 - Article

AN - SCOPUS:84956669921

VL - 138

SP - 346

EP - 368

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

ER -