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LİNEER VE YARI-LİNEER DALGA DENKLEMLERİ İÇİN PHRAGMEN-LİNDELOF TİPİ KESTİRİMLER

Journal Name:

  • Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi

Publication Year:

  • 2005

Key Words:

Keywords (Original Language):

Author NameUniversity of Author
Abstract (2. Language): 
In this work, asymptotic behaviour of the nontrivial solutions of some linear and semi-linear wave equations are studied. For this aim, for the solutions of the stated problems, Phragmen-Lindelof type theorems have been given.
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Abstract (Original Language): 
Bu çalışmada, bazı lineer ve yarı-lineer dalga denklemleri için çözümlerin asimptotik davranõşlarõ incelenmiştir. Bu amaçla, ifade edilen denklemlerin triviyal olmayan çözümleri için Phragmen-Lindelof tipi teoremler verilmiştir.
FULL TEXT (PDF): 
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  • 1
74-78
  • Turkish

REFERENCES

References: 

[1] R. Quintanilla, A Spatial Decay Estimate for the Hyperbolic Heat equation, SIAM J. MATH. ANAL. Vol.27, No. 1, pp. 78-91, January 1996.
[2] C. O. Horgan and L. E. Payne, Phragmen-Lindelof Type Results for Harmonic Functions with Nonlinear Boundary Conditions, Arch. Rattional Mech. Anal. 122 (1993) 123-144.
[3] J. K. Knowles, On the Spatial Decay of Solutions of the Heat Equation, J. Appl. Math. Phys. 22 (1971) pp. 1050-1056.
[4] A. O. Çelebi and V. K. Kalantarov, Spatial Behaviour Estimates for the Wave Equation under Nonlinear Boundary Condition, Lectures Notes on Computer Sciences, Vol. 2260, p. 20-26, 2001.
[5] O. A. Ladyzenskaya and V. A. Solonnikov, Determination of Solutions of Boundary Value Problems for Stationary Stokes and Navier-Stokes Equations Having an Unbounded Dirichlet Integral, Zap. Nauch. Semin. LOMI, 96 (1980), 117-160.

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