Results 41 to 49 of about 49 (49)

The strong maximum principle for Schrödinger operators on fractals

Demonstratio Mathematica, 2019
We prove a strong maximum principle for Schrödinger operators defined on a class of postcritically finite fractal sets and their blowups without boundary.
Ionescu Marius V., Okoudjou Kasso A., Rogers Luke G.   +2 more
doaj   +1 more source

Beyond the classical strong maximum principle: Sign-changing forcing term and flat solutions

Advances in Nonlinear Analysis
We show that the classical strong maximum principle, concerning positive supersolutions of linear elliptic equations vanishing on the boundary of the domain can be extended, under suitable conditions, to the case in which the forcing term is sign ...
Díaz Jesús Ildefonso, Hernández Jesús   +1 more
doaj   +1 more source

An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2022
Buccheri S, Orsina L, Ponce AC.
europepmc   +1 more source

Operator compression with deep neural networks. [PDF]

Adv Contin Discret Model, 2022
Kröpfl F, Maier R, Peterseim D.
europepmc   +1 more source

On subsolutions and concavity for fully nonlinear elliptic equations

Advanced Nonlinear Studies
Subsolutions and concavity play critical roles in classical solvability, especially a priori estimates, of fully nonlinear elliptic equations. Our first primary goal in this paper is to explore the possibility to weaken the concavity condition.
Guan Bo
doaj   +1 more source

A New H ² Regularity Condition of the Solution to Dirichlet Problem of the Poisson Equation and Its Applications. [PDF]

Acta Math Sin Engl Ser, 2020
Gao FC, Lai MJ.
europepmc   +1 more source

Spectral shift functions and Dirichlet-to-Neumann maps. [PDF]

Math Ann, 2018
Behrndt J, Gesztesy F, Nakamura S.
europepmc   +1 more source

Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory. [PDF]

Calc Var Partial Differ Equ
Davey B, Smit Vega Garcia M.
europepmc   +1 more source

Structural identifiability of linear-in-parameter parabolic PDEs through auxiliary elliptic operators. [PDF]

J Math Biol
Salmaniw Y, Browning AP.
europepmc   +1 more source