Cauchy problem for some parabolic equations with Bessel operator and increasing coefficients

Balabushenko Tonya Mykhailivna; Ivasyshen Stepan Dmytrovych; Lavrenchuk Volodymyr Petrovych; Melnychuk Liliia Mykhailivna

Balabushenko Tonya Mykhailivna ¹ , Ivasyshen Stepan Dmytrovych ² , Lavrenchuk Volodymyr Petrovych ³ , Melnychuk Liliia Mykhailivna ⁴

¹ Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

² Department of Mathematical Physics and Differential Equations, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, 01001, Ukraine

³ Department of Higher Mathematics and Engineering and Technical Disciplines, Chernivtsi Institute of Trade and Economics of the Kyiv National University of Trade and Economics, Chernivtsi, 58002, Ukraine

⁴ Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

Keywords: Cauchy problem, parabolic equations, Bessel operator

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Abstract

Theorems on a resolvability in special weight Lp" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> ${L p} ��$ -spaces of the Cauchy problem for one class of parabolic equations with growing coefficients on a variable x∈ℝn" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> $x \in R n �\inℝ�$ as operator on a variable

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ACS Style: Balabushenko, T.M.; Ivasyshen, S.D.; Lavrenchuk, V.P.; Melnychuk, L.M. Cauchy problem for some parabolic equations with Bessel operator and increasing coefficients. Bukovinian Mathematical Journal. 2018, 1
AMA Style: Balabushenko TM, Ivasyshen SD, Lavrenchuk VP, Melnychuk LM. Cauchy problem for some parabolic equations with Bessel operator and increasing coefficients. Bukovinian Mathematical Journal. 2018; 1(314).
Chicago/Turabian Style: Tonya Mykhailivna Balabushenko, Stepan Dmytrovych Ivasyshen, Volodymyr Petrovych Lavrenchuk, Liliia Mykhailivna Melnychuk. 2018. "Cauchy problem for some parabolic equations with Bessel operator and increasing coefficients". Bukovinian Mathematical Journal. 1 no. 314.

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