Generalized Jordan Sets in the Theory of Singular Partial Differential-Operator Equations

机译：奇异偏微分算子方程理论中的广义Jordan集。

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We apply the generalized Jordan sets techniques to reduce partial differential-operator equations with the Fredholm operator in the main expression to regular problems. In addition this techniques has been exploited to prove a theorem of existence and uniqueness of a singular initial problem, as well as to construct the left and right regularizators of singular operators in Banach spaces and to construct fundamental operators in the theory of generalized solutions of singular equations.

机译：我们将广义约旦集技术应用于主要问题中的Fredholm算子，以简化偏微分算子方程。此外，还利用这种技术证明了奇异初值问题的存在性和唯一性定理，并构造了Banach空间中奇异算子的左右正则化子，并构造了奇异广义解理论中的基本算子。方程。

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《International Conference on Computational Science - ICCA 2003 Pt.2 Jun 2-4, 2003 Melbourne, Australia and St. Petersburg, Russia》|2003年|p.523-532|共10页
会议地点 Melbourne(AU) St. Petersburg(RU);Melbourne(AU) St. Petersburg(RU)
作者
Michael V. Falaleev; Olga A. Romanova; Nicholas A. Sidorov;
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Irkutsk State University, 664003 Irkutsk, Russia;

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原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
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1. Generalized solutions of differential-operator equations with singular white noise [J] . Melnikova I.V. Differential equations: A translation of differensial'nye uraveniya . 2013,第4期

机译：具有奇异白噪声的微分算子方程的广义解
2. ON THE L-p-BOUNDEDNESS OF THE STOCHASTIC SINGULAR INTEGRAL OPERATORS AND ITS APPLICATION TO L-p-REGULARITY THEORY OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS [J] . Kim Ildoo, Kim Kyeong-Hun Transactions of the American Mathematical Society . 2020,第8期

机译：关于随机奇异积分算子的L-P界性及其在随机偏微分方程的L-P定期理论中的应用
3. An algebraic theory for generalized Jordan chains and partial signatures in the Lagrangian Grassmannian [J] . Piccione P, Tausk DV Linear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and Problems . 2010,第1a2期

机译：拉格朗日Grassmannian中广义约旦链和部分签名的代数理论
4. Generalized Jordan Sets in the Theory of Singular Partial Differential-Operator Equations [C] . International conference on computational science . 2003

机译：奇异部分差分算子方程理论的广义乔丹集
5. Extensions of Sturm-Liouville theory: Nodal sets in both ordinary and partial differential equations [D] . Yang, Xue-Feng 1998

机译：Sturm-Liouville理论的扩展：常微分方程和偏微分方程的节点集
6. Delayed singularity formation for solutions of nonlinear partial differential equations in higher dimensions [O] . Fritz John 1976

机译：高维非线性偏微分方程解的延迟奇异性形成。
7. Generalized Jordan Sets in the Theory of Singular Partial Differential-Operator Equations [O] . Michael V. Falaleev, Olga A. Romanova, Nicholas A. Sidorov 2003

机译：奇异部分差分算子方程理论的广义乔丹集
8. Lyapunov stability for partial differential equations. Part 1 - Lyapunov stability theory and the stability of solutions to partial differential equations. Part 2 - Contraction groups and equivalent norms [R] . Buis, G. R., Eisen, M. M., Vogt, W. G. 1968

机译：偏微分方程的Lyapunov稳定性。第1部分 - Lyapunov稳定性理论和偏微分方程解的稳定性。第2部分 - 收缩组和等效规范

Generalized Jordan Sets in the Theory of Singular Partial Differential-Operator Equations

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