Atıf İçin Kopyala
Shakhmurov V. B., Bayrak V., Shahmurov R.
JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.310, ss.138-163, 2022 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
310
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Basım Tarihi:
2022
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Doi Numarası:
10.1016/j.jde.2021.12.004
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Dergi Adı:
JOURNAL OF DIFFERENTIAL EQUATIONS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
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Sayfa Sayıları:
ss.138-163
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Anahtar Kelimeler:
Wave equations, Hyperbolic equations, Differential operators, Blow-up, Fourier multipliers, GLOBAL EXISTENCE, ELASTICITY
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İstanbul Teknik Üniversitesi Adresli:
Evet
Özet
In this paper, the Cauchy problem for nonlocal linear and nonlinear wave equations are studied. The equations include the general differential operators. The existence, uniqueness, L-p-regularity properties and blow-up at finite time of solutions of the Cauchy problem is obtained. By choosing differential operators including in equations, the regularity properties of a different type wave equations are studied. (c) 2021 Elsevier Inc. All rights reserved.