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Titlebook: Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type; Samuil D. Eidelman,Anatoly N. Kochubei

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发表于 2025-3-21 17:23:20 | 显示全部楼层 |阅读模式
期刊全称Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type
影响因子2023Samuil D. Eidelman,Anatoly N. Kochubei,Stepan D. I
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发行地址First book devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degen
学科分类Operator Theory: Advances and Applications
图书封面Titlebook: Analytic Methods In The Theory Of Differential And Pseudo-Differential Equations Of Parabolic Type;  Samuil D. Eidelman,Anatoly N. Kochubei
影响因子The theory of parabolic equations, a well-developed part of the contemporary partial differential equations and mathematical physics, is the subject theory of of an immense research activity. A continuing interest in parabolic equations is caused both by the depth and complexity of mathematical problems emerging here, and by its importance in specific applied problems of natural science, technology, and economics. This book aims at a consistent and, as far as possible, a complete exposition of analytic methods of constructing, investigating, and using fundamental solutions of the Cauchy problem for the following four classes of linear parabolic equations with coefficients depending on all variables: -7 E : 2b-parabolic partial differential equations (parabolic equations of a qua- l homogeneous structure), in which every spatial variable may have its own to the time variable. weight with respect E : degenerate partial differential equations of Kolmogorov‘s structure, which 2 generalize classical Kolmogorov equations of diffusion with inertia. E3: pseudo-differential equations with non-smooth quasi-homogeneous symbols. E : fractional diffusion equations. 4 These classes of equations
Pindex Book 2004
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发表于 2025-3-21 23:25:31 | 显示全部楼层
0255-0156 as parabolic systems of a quasi-homogeneous structure, degenThe theory of parabolic equations, a well-developed part of the contemporary partial differential equations and mathematical physics, is the subject theory of of an immense research activity. A continuing interest in parabolic equations is
发表于 2025-3-22 02:46:32 | 显示全部楼层
Book 2004heory of of an immense research activity. A continuing interest in parabolic equations is caused both by the depth and complexity of mathematical problems emerging here, and by its importance in specific applied problems of natural science, technology, and economics. This book aims at a consistent a
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发表于 2025-3-22 10:02:28 | 显示全部楼层
Donald Kahn Jr.,Nevin B. ScrimshawWe start from the case of a .-parabolic equation of the form (1.1.10), of the first order with respect to the variable t, with bounded coefficients, that is the equation . in which . ∈ ℕ, the coefficients .] → ℂ., ‖.‖ ≤ ., are bounded functions, . :П. → ℂ. is a given function, . :П. → ℂ. is an unknown function.
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发表于 2025-3-22 19:46:03 | 显示全部楼层
The Future of Eco-Cognitive Settings,We shall consider the Cauchy problem .where ..,….. are pseudo-differential operators with the symbols .(.), .. (.), … .. (.), that is, e.g., . where
发表于 2025-3-23 00:04:23 | 显示全部楼层
Equations. Problems. Results. Methods. Examples,This chapter is introductory. It contains definitions and examples of equations from the classes considered in this book, setting the context of the problems to be solved. We describe main results and techniques. In addition, we have included in this chapter several lemmas essential for this book.
发表于 2025-3-23 01:23:31 | 显示全部楼层
Parabolic Equations of a Quasi-Homogeneous Structure,We start from the case of a .-parabolic equation of the form (1.1.10), of the first order with respect to the variable t, with bounded coefficients, that is the equation . in which . ∈ ℕ, the coefficients .] → ℂ., ‖.‖ ≤ ., are bounded functions, . :П. → ℂ. is a given function, . :П. → ℂ. is an unknown function.
发表于 2025-3-23 07:04:54 | 显示全部楼层
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