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Existence and uniqueness of steady-state solutions for an electrochemistry model
Author(s):
Weifu
Fang;
Kazufumi
Ito
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1037-1040.
MSC (2000):
Primary 45K05, 35J20
Posted:
October 11, 2000
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Abstract:
We present a simple proof for the existence and uniqueness of steady-state solutions to an electrochemistry model with multiple species.
References:
- 1.
- Y. S. Choi and R. Lui, Analysis of an electrochemistry model with zero-flux boundary conditions, Applicable Analysis, 49(1993), pp. 277-288. MR 96d:80005
- 2.
- Y. S. Choi and R. Lui, Uniqueness of steady-state solutions for an electrochemical model with multiple species, J. Differential Equations, 108(1994), pp. 424-437. MR 95j:35225
- 3.
- Y. S. Choi and R. Lui, Multi-dimensional electrochemistry model, Arch. Rational Mech. Anal., 130(1995), pp. 315-342. MR 96f:80007
- 4.
- Y. S. Choi and R. Lui, An integro-differential equation arising from an electrochemistry model, Quart. Appl. Math., 55(1997), pp. 677-686. MR 99h:45017
- 5.
- G. M. Troianiello, Elliptic Differential Equations and Obstacle Problems, Plenum Press, New York, 1987. MR 92b:35004
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Additional Information:
Weifu
Fang
Affiliation:
Department of Mathematics, West Virginia University, Morgantown, West Virginia 26506
Email:
wfang@math.wvu.edu
Kazufumi
Ito
Affiliation:
Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695
Email:
kito@eos.ncsu.edu
DOI:
10.1090/S0002-9939-00-05769-5
PII:
S 0002-9939(00)05769-5
Keywords:
Electrochemistry,
integro-differential equations
Received by editor(s):
June 22, 1999
Posted:
October 11, 2000
Additional Notes:
The research of the first author was supported by Army Research Office grant DAAG55-98-1-0261.
The research of the second author was supported by Air Force Office of Scientific Research grant AFOSR-F49620-95-1-0447
Communicated by:
David Sharp
Copyright of article:
Copyright
2000,
American Mathematical Society
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