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Some Applications to Lebesgue Points in Variable Exponent Lebesgue Spaces

Journal Name:

  • Çankaya University Journal of Science and Engineering

Publication Year:

  • 2010

Key Words:

Keywords (Original Language):

Author NameUniversity of Author
Abstract (2. Language): 
Some corollaries of Lebesgue's regular points which are useful in the theory of optimal control for distributed parameter systems are proved.
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Abstract (Original Language): 
Dağılım parametreli sistemler icin optimal kontrol teorisinde kullanışlı olan, Lebesgue regüler noktalarının bazı sonuçları ispatlanmıştır.
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  • 2
105-113
  • Turkish

REFERENCES

References: 

[1] O. M. Buhrii and R. A. Mashiyev, Uniqueness of solutions of the parabolic variational inequality
with variable exponent of nonlinearity, Nonlinear Anal.-Theor. 70 (2009), 2325-2331.
[2] A. V. Fursikov, Optimal Control of Distributed Systems. Theory and Applications, American
Mathematical Society, Boston, MA 2000.
[4] R. Mashiyev, Some properties of variable Sobolev capacity, Taiwan. J. Math. 12 (2008), 671¬678.
[5] A. D. Ioffe and V. M. Tikhomirov, Theory of Extremum Problems, Nauka, Moscow 1974. [6] P. Harjulehto and P. Hastü, Lebesgue points in variable exponent spaces, Ann. Acad. Sci.
Fenn.-M. 29 (2004), 295-306. [7] M. Ruzicka, Electrorheological Fluids: Modeling and Mathematical Theory. Lecture Notes in
Mathematics, 1748, Springer-Verlag, Berlin, 2000. [8] X. Fan and D. Zhao, On the spaces Lp(x)(Q) and Wm-p(x)(Q), J. Math. Anal. Appl. 263
(2001), 424-446.

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