Communications in Applied Analysis, Volume 5, 2001

Communications in Applied Analysis

Volume 5, 2001

CONTENTS

G. I .Shishkin
On finite difference schemes for singularly perturbed problems with an initial parabolic layer
1

G. Carbou and P. Fabrie
Regular solutions for Landau-Lifschitz equation in R3
17

Y. Wang and C. Zhou
Contraction operators and nonlocal problems
31

Y. Shi
Iterative methods for solving complex equations
39

E. Priola
The Cauchy problem for a class of Markov-type semigroups
49

M. L. Bernardi, G. Bonfanti and F. Luterotti
Abstract Schroedinger-type equations with lower order terms
77

M. D. Tidriri
Hybrid finite element / finite volume approximation to conservation
laws : existence theory
91

G. A. Anastassiou and T. Rychlik
Moment problems on random rounding rules subject to one moment condition
103

P. W. Eloe and M. N. Islam
Monotone methods and fourth order Lidstone booundary value problems with
impulse effects
113

C. Giorgi, M. G. Naso and V. Pata
Exponential stability in linear heat conduction with memory: a semigroup approach
121

M. Sofonea and M. Shillor
Variational analysis of quasistatic viscoplastic contact problems with friction
135

A. Ferone. M. Jalal, J. M. Rakotoson and R. Volpicelli
A topological approach for generalized nonlocal models for a confined plasma
in a Tokomak
159

N. U. Ahmed and X. Ding
Controlled McKean-Vlasov equations
183

M. Hieber
Existence and uniqueness results for degenerate semilinear elliptic boundary
value problems
207

N. Sato and T. Aiki
Phase field equations with constraints under nonlinear dynamic boundary conditions
215

A. S. Fokas and T. A. Ioannidou
The inverse spectral theory for the Ward equation and for the 2+1 Chiral model
235

G. Schneider and J. Miller
Bifurcation analysis for a spatially extended random walk system in mathematical
biology
247

G. A. Anastassiou and S. G. Gal
On some shift invariant multivariate, integral operators, revisited
265

A. Kozhevnikov
Parameter-ellipticity for mized-order systems elliptic in the sense of Petrovskii
277

Irina Chis-Ster
Monotone solutions for single-valued perturbed nonlinear evolution equations
295

C. V. Pao
System of reaction-diffusion equations in a half-space domain
307

Zhangxin Chen and Natalia L. Khlopina
Degenerate two-phase incompressible flow problems I: regularization and
numerical results
319

D. Gourdin and M. Ghedamsi
Global smooth solutions for quasi-linear hyperbolic systems of second order
335

Pascal Maroni and Zelia da Rocha
A new characterization of classical forms
351

Raymond M. Redheffer
A remarkable differential equation
363

Hongwei Long and Isabel Simao
On the essential self-adjointness of perturbed ornstein-uhlenbeck operators
on hilbert spaces
371

Flaviano Battelli and Russell Johnson
On transversal smoothness of invariant manifolds
383

A. Ito, N. Kenmochi and N. Yamazaki
Time-dependent attractors of bounded dynamical systems generated
by subdifferentials
403

Andrei Breazna, Gisele Ruiz Goldstein and Jerome A. Goldstein
Parameter dependence in thomas-fermi theory
421

X. Liu and M. D. Shaw
Boundedness in terms of two measures for perturbed systems
by generalized variation of parameters
435

D. Cardenas-Morales and F. J. Munoz-Delgado
A general uniform estimate of Korovkin-type for conservative operators
445

J. Matos
Self-similar blow up patterns in supercritical semilinear heat equations
455

C. J. Chyan and J. Henderson
A multiplicity result for positive solutions of right focal boundary value problems
485

Gr. Tsagas and X. Agrafiotou
Special system of linear partial differential equations
497

Z. Chen and N. L. Khlopina
Degenerate two-phase incompressible flow problems II : error estimates
503

D. Guo
Initial value problems of first order impulsive integro-differential
equations on unbounded domain in a Banach space
523

P. G. Howlett and A. J. Zaslavski
On the minimization of convex functions in reflexive Banach spaces
535

J. Munoz Masque and G. Rodriguez Sanchez
Jacobi fields along higher order geodesics
547

D. Arcoya, J. L. Gamez, L. Orsina and I. Peral
Local existence results for sub-super-critical elliptic problems
557

C. J. Chyan and J. M. Davis
Existence of triple positive solutions for (n, p) and (p, n) boundary value problems
571

Volume Contents
583

Author Index
587

G. I .Shishkin On finite difference schemes for singularly perturbed problems with an initial parabolic layer	1
G. Carbou and P. Fabrie Regular solutions for Landau-Lifschitz equation in R3	17
Y. Wang and C. Zhou Contraction operators and nonlocal problems	31
Y. Shi Iterative methods for solving complex equations	39
E. Priola The Cauchy problem for a class of Markov-type semigroups	49
M. L. Bernardi, G. Bonfanti and F. Luterotti Abstract Schroedinger-type equations with lower order terms	77
M. D. Tidriri Hybrid finite element / finite volume approximation to conservation laws : existence theory	91
G. A. Anastassiou and T. Rychlik Moment problems on random rounding rules subject to one moment condition	103
P. W. Eloe and M. N. Islam Monotone methods and fourth order Lidstone booundary value problems with impulse effects	113
C. Giorgi, M. G. Naso and V. Pata Exponential stability in linear heat conduction with memory: a semigroup approach	121
M. Sofonea and M. Shillor Variational analysis of quasistatic viscoplastic contact problems with friction	135
A. Ferone. M. Jalal, J. M. Rakotoson and R. Volpicelli A topological approach for generalized nonlocal models for a confined plasma in a Tokomak	159
N. U. Ahmed and X. Ding Controlled McKean-Vlasov equations	183
M. Hieber Existence and uniqueness results for degenerate semilinear elliptic boundary value problems	207
N. Sato and T. Aiki Phase field equations with constraints under nonlinear dynamic boundary conditions	215
A. S. Fokas and T. A. Ioannidou The inverse spectral theory for the Ward equation and for the 2+1 Chiral model	235
G. Schneider and J. Miller Bifurcation analysis for a spatially extended random walk system in mathematical biology	247
G. A. Anastassiou and S. G. Gal On some shift invariant multivariate, integral operators, revisited	265
A. Kozhevnikov Parameter-ellipticity for mized-order systems elliptic in the sense of Petrovskii	277
Irina Chis-Ster Monotone solutions for single-valued perturbed nonlinear evolution equations	295
C. V. Pao System of reaction-diffusion equations in a half-space domain	307
Zhangxin Chen and Natalia L. Khlopina Degenerate two-phase incompressible flow problems I: regularization and numerical results	319
D. Gourdin and M. Ghedamsi Global smooth solutions for quasi-linear hyperbolic systems of second order	335
Pascal Maroni and Zelia da Rocha A new characterization of classical forms	351
Raymond M. Redheffer A remarkable differential equation	363
Hongwei Long and Isabel Simao On the essential self-adjointness of perturbed ornstein-uhlenbeck operators on hilbert spaces	371
Flaviano Battelli and Russell Johnson On transversal smoothness of invariant manifolds	383
A. Ito, N. Kenmochi and N. Yamazaki Time-dependent attractors of bounded dynamical systems generated by subdifferentials	403
Andrei Breazna, Gisele Ruiz Goldstein and Jerome A. Goldstein Parameter dependence in thomas-fermi theory	421
X. Liu and M. D. Shaw Boundedness in terms of two measures for perturbed systems by generalized variation of parameters	435
D. Cardenas-Morales and F. J. Munoz-Delgado A general uniform estimate of Korovkin-type for conservative operators	445
J. Matos Self-similar blow up patterns in supercritical semilinear heat equations	455
C. J. Chyan and J. Henderson A multiplicity result for positive solutions of right focal boundary value problems	485
Gr. Tsagas and X. Agrafiotou Special system of linear partial differential equations	497
Z. Chen and N. L. Khlopina Degenerate two-phase incompressible flow problems II : error estimates	503
D. Guo Initial value problems of first order impulsive integro-differential equations on unbounded domain in a Banach space	523
P. G. Howlett and A. J. Zaslavski On the minimization of convex functions in reflexive Banach spaces	535
J. Munoz Masque and G. Rodriguez Sanchez Jacobi fields along higher order geodesics	547
D. Arcoya, J. L. Gamez, L. Orsina and I. Peral Local existence results for sub-super-critical elliptic problems	557
C. J. Chyan and J. M. Davis Existence of triple positive solutions for (n, p) and (p, n) boundary value problems	571
Volume Contents	583
Author Index	587