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Math. Models Methods Appl. Sci. 1995.05:95-110. Downloaded from www.worldscientific.com by UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN on 04/30/13. For personal use only.

DECAY BOUNDS FOR SOLUTIONS OF SECOND ORDER PARABOLIC PROBLEMS AND THEIR DERIVATIVES

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Mat

h. M

odel

s M

etho

ds A

ppl.

Sci.

1995

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Mat

h. M

odel

s M

etho

ds A

ppl.

Sci.

1995

.05:

95-1

10. D

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Mat

h. M

odel

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1995

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95-1

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Mat

h. M

odel

s M

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ds A

ppl.

Sci.

1995

.05:

95-1

10. D

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Mat

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1995

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Mat

h. M

odel

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1995

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Mat

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1995

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Mat

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ds A

ppl.

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1995

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95-1

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Mat

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Mat

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1995

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Mat

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Mat

h. M

odel

s M

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Sci.

1995

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Mat

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Mat

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1995

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d fr

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Mat

h. M

odel

s M

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ds A

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1995

.05:

95-1

10. D

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Mat

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s M

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1995

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This article has been cited by:

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2. M. Marras, S. Vernier Piro. 2009. Continuous Dependence Results for Parabolic Problems Under Robin Boundary Conditions.Numerical Functional Analysis and Optimization 30:1-2, 121-135. [CrossRef]

3. C. Enache. 2008. Blow-up, global existence and exponential decay estimates for a class of quasilinear parabolic problems. NonlinearAnalysis: Theory, Methods & Applications 69:9, 2864-2874. [CrossRef]

4. Stella Vernier Piro. 2008. Qualitative properties for solutions of reaction–diffusion parabolic systems and their gradients. NonlinearAnalysis: Theory, Methods & Applications 68:7, 1775-1783. [CrossRef]

5. C. Enache. 2006. Spatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary valueproblems. Journal of Mathematical Analysis and Applications 323:2, 993-1000. [CrossRef]

6. G. A. Philippin, V. Proytcheva. 2006. Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems.Mathematical Methods in the Applied Sciences 29:3, 297-307. [CrossRef]

7. L. E. Payne, G. A. Philippin, S. Vernier-Piro. 2006. Blow up, decay bounds and continuous dependence inequalities for a class ofquasilinear parabolic problems. Mathematical Methods in the Applied Sciences 29:3, 281-295. [CrossRef]

8. L.E. Payne, G.A. Philippin. 2005. Spatial decay bounds for a class of quasi-linear parabolic initial-boundary value problems.International Journal of Non-Linear Mechanics 40:2-3, 295-305. [CrossRef]

9. L.E. Payne, P.W. Schaefer. 2003. Pointwise and L2 bounds in some nonstandard problems for the heat equation. Journal ofMathematical Analysis and Applications 284:1, 283-293. [CrossRef]

10. L.E. Payne, P.W. Schaefer. 2002. Decay bounds in initial-boundary value problems for nonlinear parabolic systems. NonlinearAnalysis: Theory, Methods & Applications 50:7, 899-912. [CrossRef]

11. L. E. Payne, G. A. Philippin. 2000. On the Spatial Decay of Solutions to a Quasi-Linear Parabolic Initial-Boundary Value Problemand Their Derivatives. SIAM Journal on Mathematical Analysis 32:2, 291-303. [CrossRef]

12. G. A. Philippin, S. Vernier-Piro. 1999. Explicit decay bounds in some quasilinear one-dimensional parabolic problems.Mathematical Methods in the Applied Sciences 22:2, 101-109. [CrossRef]

13. Catherine Bandle, Hermann Brunner. 1998. Blowup in diffusion equations: A survey. Journal of Computational and AppliedMathematics 97:1-2, 3-22. [CrossRef]

Mat

h. M

odel

s M

etho

ds A

ppl.

Sci.

1995

.05:

95-1

10. D

ownl

oade

d fr

om w

ww

.wor

ldsc

ient

ific

.com

by U

NIV

ER

SIT

Y O

F IL

LIN

OIS

AT

UR

BA

NA

CH

AM

PAIG

N o

n 04

/30/

13. F

or p

erso

nal u

se o

nly.