Los, Valerii; Mikhailets, Vladimir; Murach, Aleksandr Parabolic problems in generalized Sobolev spaces. (English) Zbl 1479.35516 Commun. Pure Appl. Anal. 20, No. 10, 3605-3636 (2021). MSC: 35K35 46E35 PDFBibTeX XMLCite \textit{V. Los} et al., Commun. Pure Appl. Anal. 20, No. 10, 3605--3636 (2021; Zbl 1479.35516) Full Text: DOI arXiv
Mikhailets, Vladimir; Murach, Aleksandr; Zinchenko, Tetiana An extended Hilbert scale and its applications. arXiv:2102.08089 Preprint, arXiv:2102.08089 [math.FA] (2021). MSC: 46B70 46E35 47A40 BibTeX Cite \textit{V. Mikhailets} et al., ``An extended Hilbert scale and its applications'', Preprint, arXiv:2102.08089 [math.FA] (2021) Full Text: arXiv OA License
Kasirenko, Tetiana; Mikhailets, Vladimir; Murach, Aleksandr Sobolev-like Hilbert spaces induced by elliptic operators. (English) Zbl 1427.46025 Complex Anal. Oper. Theory 13, No. 3, 1431-1440 (2019). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 46E35 46B70 35J40 35J30 PDFBibTeX XMLCite \textit{T. Kasirenko} et al., Complex Anal. Oper. Theory 13, No. 3, 1431--1440 (2019; Zbl 1427.46025) Full Text: DOI arXiv
Los, Valerii; Mikhailets, Vladimir A.; Murach, Aleksandr A. An isomorphism theorem for parabolic problems in Hörmander spaces and its applications. (English) Zbl 1361.35072 Commun. Pure Appl. Anal. 16, No. 1, 69-97 (2017). MSC: 35K35 46B70 46E35 35B65 PDFBibTeX XMLCite \textit{V. Los} et al., Commun. Pure Appl. Anal. 16, No. 1, 69--97 (2017; Zbl 1361.35072) Full Text: DOI arXiv
Los, V. M.; Mikhailets, V. A.; Murach, A. A. General parabolic initial-boundary value problems in Hörmander spaces. arXiv:1610.06862 Preprint, arXiv:1610.06862 [math.AP] (2016). MSC: 35K35 46B70 46E35 BibTeX Cite \textit{V. M. Los} et al., ``General parabolic initial-boundary value problems in H\"ormander spaces'', Preprint, arXiv:1610.06862 [math.AP] (2016) Full Text: arXiv OA License
Mikhailets, Vladimir A.; Murach, Aleksandr A. Interpolation Hilbert spaces between Sobolev spaces. (English) Zbl 1335.46030 Result. Math. 67, No. 1-2, 135-152 (2015). MSC: 46E35 46B70 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{A. A. Murach}, Result. Math. 67, No. 1--2, 135--152 (2015; Zbl 1335.46030) Full Text: DOI arXiv
Mikhailets, Vladimir A.; Murach, Aleksandr A. Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev. (English) Zbl 1455.46002 De Gruyter Studies in Mathematics 60. Berlin: De Gruyter (ISBN 978-3-11-029685-3/hbk; 978-3-11-029689-1/ebook). xii, 297 p. (2014). Reviewer: Roland Duduchava (Tbilisi) MSC: 46-02 46E35 35J40 35J30 47F10 47G30 35J58 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{A. A. Murach}, Hörmander spaces, interpolation, and elliptic problems. Transl. from the Russian by Peter V. Malyshev. Berlin: De Gruyter (2014; Zbl 1455.46002) Full Text: DOI
Mikhailets, V. A.; Murach, A. A. Extended Sobolev scale and elliptic operators. (English. Ukrainian original) Zbl 1294.46036 Ukr. Math. J. 65, No. 3, 435-447 (2013); translation from Ukr. Mat. Zh. 65, No. 3, 392-404 (2013). Reviewer: Isabel Marrero (La Laguna) MSC: 46E35 46B70 47G30 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{A. A. Murach}, Ukr. Math. J. 65, No. 3, 435--447 (2013; Zbl 1294.46036); translation from Ukr. Mat. Zh. 65, No. 3, 392--404 (2013) Full Text: DOI
Mikhailets, Vladimir A.; Murach, Aleksandr A. The refined Sobolev scale, interpolation and elliptic problems. (English) Zbl 1258.46014 Banach J. Math. Anal. 6, No. 2, 211-281 (2012). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 46E35 35J40 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{A. A. Murach}, Banach J. Math. Anal. 6, No. 2, 211--281 (2012; Zbl 1258.46014) Full Text: DOI arXiv Euclid EMIS
Mikhaĭlets, V. A.; Murach, A. A. Hörmander spaces, interpolation, and elliptic problems. (Пространства Хермандера, интерполяция и ѐллиптические задачи.) (Russian) Zbl 1240.35003 Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya 84. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-5747-4). 372 p. (2010). MSC: 35-02 46-02 35J30 35J40 35J48 46E35 35B65 47F05 PDFBibTeX XMLCite \textit{V. A. Mikhaĭlets} and \textit{A. A. Murach}, Пространства Хермандера, интерполяция и ѐллиптические задачи (Russian). Kyïv: Instytut Matematyky NAN Ukraïny (2010; Zbl 1240.35003) Full Text: arXiv
Mikhajlets, V. A.; Murach, A. A. Hörmander interpolation spaces and elliptic operators. (Russian) Zbl 1199.46056 Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 205-226 (2008). MSC: 46B70 46E35 47G30 PDFBibTeX XMLCite \textit{V. A. Mikhajlets} and \textit{A. A. Murach}, Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 205--226 (2008; Zbl 1199.46056)
Mikhailets, Vladimir A.; Murach, Aleksandr A. Interpolation with a function parameter and refined scale of spaces. (English) Zbl 1164.46010 Methods Funct. Anal. Topol. 14, No. 1, 81-100 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 46B70 46E35 PDFBibTeX XMLCite \textit{V. A. Mikhailets} and \textit{A. A. Murach}, Methods Funct. Anal. Topol. 14, No. 1, 81--100 (2008; Zbl 1164.46010) Full Text: arXiv
Mikhajlets, V. A.; Murach, A. A. Refined scales of spaces and elliptic boundary value problems. II. (Ukrainian, English) Zbl 1104.46021 Ukr. Mat. Zh. 58, No. 3, 352-370 (2006); translation in Ukr. Math. J. 58, No. 3, 398-417 (2006). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 46E35 46B70 35J40 PDFBibTeX XMLCite \textit{V. A. Mikhajlets} and \textit{A. A. Murach}, Ukr. Mat. Zh. 58, No. 3, 352--370 (2006; Zbl 1104.46021); translation in Ukr. Math. J. 58, No. 3, 398--417 (2006) Full Text: DOI
Mikhajlets, V. A.; Murach, A. A. Refined scales of spaces and elliptic boundary-value problems. I. (Russian, English) Zbl 1104.46010 Ukr. Mat. Zh. 58, No. 2, 217-235 (2006); translation in Ukr. Math. J. 58, No. 2, 244-262 (2006). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 46B70 46M35 46E35 35J99 PDFBibTeX XMLCite \textit{V. A. Mikhajlets} and \textit{A. A. Murach}, Ukr. Mat. Zh. 58, No. 2, 217--235 (2006; Zbl 1104.46010); translation in Ukr. Math. J. 58, No. 2, 244--262 (2006) Full Text: DOI
Mikhajlets, V. A.; Murach, A. A. Interpolation of spaces with functional parameter and spaces of differentiate functions. (Russian. English summary) Zbl 1104.46304 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 6, 13-18 (2006). MSC: 46B70 46E35 PDFBibTeX XMLCite \textit{V. A. Mikhajlets} and \textit{A. A. Murach}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 6, 13--18 (2006; Zbl 1104.46304)