Cauchy Problem for Evolutionary Pseudodifferential Equations with Variable Symbols

We prove that the Cauchy problem for a pseudodifferential equation with pseudo-Bessel operator with variable symbol is solvable in the class of bounded and even functions on ℝ:

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-01, Vol.212 (3), p.234-253
Hauptverfasser: Horodets’kyi, V. V., Martynyuk, O. V., Petryshyn, R. I.
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove that the Cauchy problem for a pseudodifferential equation with pseudo-Bessel operator with variable symbol is solvable in the class of bounded and even functions on ℝ:
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-015-2661-5