LIST OF PUBLICATIONS
Yanping Lin
JOURNAL PUBLICATIONS
 On the Stability of the temperature distribution in acomposite heat conductor
with mixed boundary value conditions(with J. Cannon) , Bollettino,U.M.I. (7)
1B, (1987) 45347
 Determination of a parameter $p(t)$ in some quasilinear
parabolic equations (with J. Cannon),
Inverse Problem, 4 (1988) 3545.
 Determination of a parameter $p(t)$ in some H\"{o}lder
classes for semilinear parabolic equations (with J. Cannon),
Inverse Problem, 4
(1988) 595606.
 A mixed boundary problem describing the propagation of disturbances in
viscous media. I. Weak solutions for quasilinear equations,
J. Math. Anal. Appl., Vol. 135, No. 2, (1988) 644653.

Classical and weak solutions for onedimensional pseudo
parabolic equation with typical boundary data (with J. Cannon),
Annali di Mathematica Pure ed Applicata, (IV), Vol. CLII, (1988)
375385.

A mixed boundary problem describing the propagation
of disturbances in viscous media. Smooth solutions for general linear
equations, Chinese Journal of Mathematics,
Vol. 16, No. 2, (1988) 6780.
 Nonclassical $H^1$ projection and Galerkin methods for
nonlinear parabolic integrodifferential equations (with J. Cannon),
Calcolo, Vol. 25, No. 3 (1988) 187201.
 Smooth solution for an integrodifferential equation of
parabolic type (with J. Cannon),
Differential and Integral Equations,
Vol. 2, No. 1, (1989) 111121.
 A finite difference solution to an inverse problem for
determining a control function in a parabolic partial differential
equation (with S. Wang), Inverse Problems, 5(1989) 631640.
 Quasilinear parabolic equations with nonlocal boundary conditions
(with J. Cannon and J. van der Hoek),
Rendiconti di Matematica , Serie VII, Vol. 9 Roma
(1989) 239264.
 Galerkin methods and $L^2$ error estimates for hyperbolic
integrodifferential equations (with J. Cannon and C. Xie),
Calcolo , Vol. 26 (1989) 197206.
 A numerical method for diffusion equation with
nonlocal boundary specifications (with S. Wang),
Int. J. Engng. Sci. ,
Vol 28, N0. 6 (1990) 543546.
 An implicit finite difference scheme for the diffusion equation
subject to mass specification (with J. Cannon and S. Wang),
Int. J. Engng. Sci. ,
Vol. 28, No. 7 (1990) 573578.
 A Galerkin procedure for diffusion equations with integral
boundary conditions (with J. Cannon),
Int. J. Engng. Sci. ,
Vol. 28, No. 7 (1990) 579587.
 An inverse problem of finding a parameter in
semilinear heat equations (with J. Cannon),
J. Math. Anal. Appl., Vol. 145, No. 2 (1990) 470484.
 A priori $L^2$ error estimates for finite element
methods for nonlinear diffusion equations with memory
(with J. Cannon), SIAM J. Numer. Anal.
Vol. 27, No. 3 (1990) 595607.
 A lumped mass finite element method for nonlinear parabolic
integrodifferential equations (with T. Zhang), Numer. Math.,
A J. Chinese Univ., No 4 (1990) 342354.
 Galerkin method for nonlinear parabolic integrodifferential equations
with nonlinear boundary conditions,
SIAM J. Numer. Anal. Vol. 27, No. 3 (1990) 608621.
 On stability of nonclassical elliptic projection and applications
(with T. Zhang),\\
Numer. Math., A J. of Chinese Univ.,
No. 3 (1990) 230238.
 Galerkin methods for nonlinear Sobolev equations,
Aequationes Mathematicae, 40 (1990) 5466.
 A priori $L^2$ error estimates for Galerkin methods for nonlinear
Sobolev Equations, Journal of System Sciences and
Mathematical Sciences., Vol. 3 (1990) 126135.
 An inverse problem for a class of quasilinear parabolic equations,
SIAM J. Math. Anal., Vol. 22, No. 1 (1991) 146156.
 The Stability of RitzVolterra projection and
error estimates for finite element methods
for a class of integrodifferential equation of parabolic type
(with T. Zhang), Aplikace Matematiky, Vol. 36, No. 2
(1991) 123133.
 RitzVolterra projection onto finite element
spaces and application to integrodifferential and Related
equations (with V. Thomee and L. Wahlbin),
SIAM J. Numer. Anal. , Vol. 28, No. 4 (1991) 10471070.
 A mixed boundary problem describing the propagation
of disturbances in viscous media (with H. Yin),
Differential and Integral equations,
Vol. 4 (1991) 639646.
 $L^{\infty}$ error bounds for some nonlinear integrodifferential
equations by finite element approximations (with T. Zhang),
Math. Numer. Sinica, No. 2 (1991) 177186.
 Nonclassical elliptic projection and $L^2$ error estimates for Galerkin
methods for linear integrodifferential equation of parabolic type,
J. Comp. Math., Vol. 9, No. 3 (1991) 238246.
 A remark on the solvability of nonlinear
parabolic integrodifferential equations in one space dimension,
(with J. Cannon), Bollettino, U.M.I., (7) 5B
(1991)853874.
 Determination of a control parameter in a parabolic partial differential
equations (with J. Cannon and S. Wang),
J. Australian Math. Soc., Series B., Vol. 33 (1991)
149163.
 Finite element methods for nonlinear Sobolev equations with nonlinear
boundary conditions in multidimensional spaces (with T. Zhang),
J. Math. Anal. Appl., Vo. 165, No. 1 (1992) 180191.
 Determination of Source parameter in parabolic
equations (with J. Cannon and S. Wang), MECCANICA, Vol. 27 (1992)
8594.
 Nonlinear parabolic equations with nonlinear functionals
(with H. M. Yin), J. Math. Anal. Appl., Vol 168, No. 1
(1992) 2841.
 Existence for onedimensional nonlinear parabolic Volterra
integrodifferential equations, (with H. M. Yin),
J. Int. Eqs. Appl. Vol. 5, N. 1 (1993) 7583 .
 A parabolic trace type functional
differential equation (with J. R. Cannon, F. B. Jones and S. Wang),
J. Diff. Eqs., Vol 101 (1993) 325331.
 Finite difference approximations for a class of nonlocal
parabolic boundary value problems (with R. J. Tait),
International. J. Comp. Appl. Math. Vol. 47 (1993) 335350.
 Numerical solutions for a class of differential equations in linear
viscoelasticity (with W. Allegretto), Calcolo, 30 (1993) 6988.
 The solution of the diffusion equation in two space variables subject
to the specification of mass (with J. Cannon and A. Matheson),
Appl. Anal. , Vol. 15, No. 12 (1993) 115.
 On a Class of nonlocal parabolic boundary value problems
(with R. Tait), Int. J. of Engng Sci.,
32 (1994) 395407.
 Upwind finite difference schemes for a linear conservation law with
memory, Numerical Methods for Partial Differential
Equations, Vol 10 (1994) 475489.
 Numerical procedures of determination of an unknown source coefficient
in semilinear parabolic differential equations ( with J. Cannon
and S. Xu) Inverse problems, Vol 10 (1994) 227243.
 Analytical and numerical solutions for a class of nonlocal nonlinear
parabolic equations, SIAM J. Math. Anal., Vol. 25 (1994) 15771594.
 Finite difference solutions for parabolic equations with time
weighting initial conditions, J. Appl. Math. Comp., Vol. 64
(1994)4961.
CONFERENCE PROCEEDINGS
 Determination of a source term in a linear parabolic
differential equation with mixed boundary conditions (with J. Cannon),
Inverse Problems (ed. J.R. Cannon and U. Hornung), ISNM, 77,
(1986) 3149.
 A priori $L^2$ error estimates for Galerkin approximations for semilinear
integrodifferential equatios of parabolic type, Transport Theory, Invariant
Imbedding and Integral Equation (P. Nelson, et al., eds) Lecture Notes i
in Pure and Applied Mathematics 115 (1989) 421434.
 A free boundary value problem related to the combustion of a solid:
First initialboundary value case, Differential Equations and Applications
(R. Aftebizadeh, ed) Ohio University Press 1 (1989) 109121.
 Galerkin methods for diffusion equation with memory ( with T. Zhang),
Ocean Waves Mechanics, Computational Fluid Dynamics and
Mathematical Modelling, (ed. M. Rahman), Computational Mechanics
Publications, (1990) 799806.
 A numerical method for the diffusion equation subject to nonlocal
second boundary specifications (with S. Wang),
Ocean Waves Mechanics, Computational Fluid Dynamics and
Mathematical Modelling, ed. M. Rahman, Computational Mechanics
Publications, (1990) 473480.
 Semilinear heat equation subject to the
specification of energy (with J. Cannon and J. Van der Hoek),
Modeling and Analysis of Diffusive and Advective Processes in
Geosciences (ed. W.E. Fitzgibbon and M. F. Wheeler), 4051, Society
for Industrial and Applied Mathematics, 1992
 A finite difference domain decomposition for the heat equations in
cylindrical coordinates ( with H. li and Y. S. Wong),
Advances in Computer Methods for Partial Differential
Equations VII (ed. R. Vichnevetsky, D. Knight and C. Richter),
441445, IMACS, 1992.
 Numerical solutions for integrodifferential
equations of parabolic type with weakly singular kernels,
Comparison Methods and Stability Theory, (ed. X. Liu and D. Siegel),
Lecture Notes in Pure and Applied Mathematics, Vol. 162, p261268,
New York, Marcel Dekker, 1994.
 A finite difference scheme for an inverse heat equation (with J. Cannon
and S. Xu), The Proceedings of the First World Congress
of Nonlinear Analysis, (V. Lakshmikantham ed.) Walter de Gruyter,
New York, 497504 (1996) .
Most Current Publications: 1996
 Semilinear integrodifferential equations with nonlocal Cauchy
problem (with J. Liu), Nonlinear Analysis, Vol 26, No. 5 (1996)
10231033.
 A class of nonlocal parabolic problems with numerical method
(with T. Zhang), Acta Mathematicae Applicatae Sinica,
Vol 19, No. 2, 279289 (1996)
 A nonlocal parabolic system in linear thermoelasticity,
Dynamics of Continuous, Discrete and Impulsive System,
Vol. 2, No. 3 (1996) 267283.
 On maximum norm estimates for RitzVolterra
projections and applications to some timedependent problems,
J. Comp. Math., Vol 15, N0. 2 (1997) 159178.
 Finite Difference approximation for a class of nonlocal parabolic
equations (with S. Xu and H.M. Yin)
Int. J. Math. \& Math. Sci., Vol. 20, No. 1 (1997) 147164.
 A parabolic IntegroDifferential Equation Arising
from Thermoelastic Contact
(W. Allegretto and J. Cannon), Discrete and
Continuous Dynamical Systems, Vol. 3, No. 2 (1997) 217234.
 A nonlocal parabolic system modeling axially symmetric thermoelastic
contact of two discs, to appear in J. Math. Anal. Appl.,
Vol. 210, (1997) 3957.
 Expnential decay and stability of Volterra diffusion equations (with J. Liu and C. Ma)
To appear in Volterra Equations and Applications, The proceedings of
Volterra Centennial Symposium, Arlington, Texas, May 1996,
(ed. C. Corduneanu and I. Sandberg)
 Semidiscrete Finite Element Approximations for Linear Parabolic
Integrodifferential Equations with Integrable
Kernels, To appear in J. Int. Eqs. Appl.
 A numerical approximation of NonFickian flows with mixing length growth in porous media
(with R. E. Ewing and Junping Wang)
 $C^{\alpha, \alpha/2}$ solutions for the amorphous silicon system and
related problems, (with W. Allegretto and A. Zhou)
to appear in Electronic J. Diff. Eqs.
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