BOUNDARY-VALUE PROBLEMS FOR ULTRAPARABOLIC AND QUASI-ULTRAPARABOLIC EQUATIONS WITH ALTERNATING DIRECTION OF EVOLUTION

A. I. Kozhanov

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BOUNDARY-VALUE PROBLEMS FOR ULTRAPARABOLIC AND QUASI-ULTRAPARABOLIC EQUATIONS WITH ALTERNATING DIRECTION OF EVOLUTION

机译：uchignal -Abolic和拟超法方程与交替的演化方向的边值问题

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摘要

We examine the solvability of boundary-value problems for the differential equationh(t)u_t + (-1)~mD_a~(2m+1)u -Δu + c(x,t,a)u = f(x,t,a);x∈Ω(<)R~n, 0

机译：我们研究了微分方程的边值问题的可解性 h（t）U_T +（-1）〜MD_A〜（2M + 1）U-ΔU+ C（x，t，a）u = f（x，t，a）; x∈ω（<）r〜n，0

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来源
《Journal of Mathematical Sciences》 |2020年第5期|772-779|共8页
作者
A. I. Kozhanov;
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作者单位

Sobolev Institute of Mathematics Siberian Branch of the Russian Academy of Sciences Novosibirsk Russia;

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正文语种 eng
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关键词
ultraparabolic equation; odd-order nonclassical differential equation with alternating direction of evolution; boundary-value problem; regular solution; existence; uniqueness;

机译：Uttraparabolic方程;交替进化方向的奇数非生物微分方程;边值问题;定期解决方案;存在;唯一性;

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机译：Sobolev型退缩超抛物方程的边值问题
2. AN ALTERNATING DIRECTION EXPLICIT METHOD FOR TIME EVOLUTION EQUATIONS WITH APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS [J] . Methods and applications of analysis . 2019,第3期

机译：应用于分数微分方程的时间evolution方程的交替方向显式方法
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机译：三维分数演化方程的落后欧拉交替方向隐式差分方案
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机译：高维黑色学 - 蜀学方程的交替方向明确方法的实现
5. On the Riemann-Hilbert Approach to the Numerical Solution of Boundary-Value Problems for Evolution Partial Differential Equations [D] . Yang, Xin. 2021

机译：关于riemann-hilbert对演化部分微分方程的边值问题数值解的方法
6. Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations [O] . Felix E. Browder 1953

机译：任意阶线性抛物线方程椭圆方程的一般边值问题
7. An alternating direction explicit method for time evolution equations with applications to fractional differential equations [O] . Hao Liu, Shingyu Leung 2019

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BOUNDARY-VALUE PROBLEMS FOR ULTRAPARABOLIC AND QUASI-ULTRAPARABOLIC EQUATIONS WITH ALTERNATING DIRECTION OF EVOLUTION

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