scholarly journals Uniform a priori estimates for elliptic problems with impedance boundary conditions

2020 ◽  
Vol 19 (5) ◽  
pp. 2445-2471
Author(s):  
Théophile Chaumont-Frelet ◽  
◽  
Serge Nicaise ◽  
Jérôme Tomezyk ◽  
Keyword(s):  
Boundary Conditions ◽  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Problems ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions ◽  
Priori Estimates

scholarly journals A QUANTUM TRANSMITTING SCHRÖDINGER–POISSON SYSTEM

2004 ◽  
Vol 16 (03) ◽  
pp. 281-330 ◽  
Author(s):  
M. BARO ◽  
H.-CHR. KAISER ◽  
H. NEIDHARDT ◽  
J. REHBERG
Keyword(s):  
Boundary Conditions ◽  
Bounded Domain ◽  
Real Axis ◽  
A Priori Estimates ◽  
A Priori ◽  
Poisson System ◽  
Transparent Boundary Conditions ◽  
Bounded Interval ◽  
Zero Current ◽  
Priori Estimates

We study a stationary Schrödinger–Poisson system on a bounded interval of the real axis. The Schrödinger operator is defined on the bounded domain with transparent boundary conditions. This allows us to model a non-zero current through the boundary of the interval. We prove that the system always admits a solution and give explicit a priori estimates for the solutions.

scholarly journals An Energy Inequality and Its Applications of Nonlocal Boundary Conditions of Mixed Problem for Singular Parabolic Equations in Nonclassical Function Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-9
Author(s):  
Moussa Zakari Djibibe ◽  
Kokou Tcharie ◽  
N. Iossifovich Yurchuk
Keyword(s):  
Boundary Conditions ◽  
Mixed Problem ◽  
A Priori Estimates ◽  
A Priori ◽  
Energy Inequality ◽  
Nonlocal Boundary ◽  
Nonlocal Boundary Conditions ◽  
Function Spaces ◽  
Priori Estimates ◽  
Singular Parabolic Equations

The aim of this paper is to establish a priori estimates of the following nonlocal boundary conditions mixed problem for parabolic equation: ∂v/∂t-(a(t)/x2)(∂/∂x)(x2∂v/∂x)+b(x,t)v=g(x,t), v(x, 0)=ψ(x), 0≤x≤ℓ, v(ℓ, t)=E(t), 0≤t≤T, ∫0ℓx3v(x,t)dx=G(t), 0≤t≤ℓ. It is important to know that a priori estimates established in nonclassical function spaces is a necessary tool to prove the uniqueness of a strong solution of the studied problems.

scholarly journals Erratum to: A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces; DOI 10.1515/mjpaa-2017-0013

2018 ◽  
Vol 4 (1) ◽  
pp. 44-45
Author(s):  
Azzeddine El Baraka ◽  
Mohammed Masrour
Keyword(s):  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Problems ◽  
Priori Estimates ◽  
Degenerate Elliptic ◽  
Type Spaces ◽  
Besov Type Spaces

AbstractIn this note, we point out some minor errors found in [1] and we give the proper corrections.

scholarly journals A priori estimates for solutions to anisotropic elliptic problems via symmetrization

2016 ◽  
Vol 290 (7) ◽  
pp. 986-1003 ◽  
Author(s):  
A. Alberico ◽  
G. di Blasio ◽  
F. Feo
Keyword(s):  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Problems ◽  
Priori Estimates
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