On the summability of formal solutions for doubly singular nonlinear partial differential equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering
Link
http://link.springer.com/content/pdf/10.1007/s10883-012-9134-7.pdf
Reference32 articles.
1. S. Alinhac. Problèmes de Cauchy pour des opérateurs singuliers. Bull. Soc. Math. France 102 (1974), 289–315.
2. W. Balser. Formal power series and linear systems of meromorphic ordinary differential equations. Springer-Verlag, New York (2000).
3. W. Balser and J.Mozo-Fernandez. Multisummability of formal solutions of singular perturbation problems. J. Differ. Equations 183 (2002), No. 2, 526–545.
4. A. Bove, J. Lewis, and C. Parenti. Propagation of singularities for Fuchsian operators. Lect. Notes Math. 984, Springer-Verlag, Berlin (1983).
5. B. Braaksma. Multisummability of formal power series solutions of nonlinear meromorphic differential equations. Ann. Inst. Fourier (Grenoble) 42 (1992), No. 3, 517–540.
Cited by 26 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Gevrey regularity of the solutions of some inhomogeneous semilinear partial differential equations with variable coefficients;Partial Differential Equations and Applications;2023-05-01
2. Gevrey regularity of the solutions of inhomogeneous nonlinear partial differential equations;Electronic Journal of Differential Equations;2023-01-19
3. A Novel Neuroevolutionary Paradigm for Solving Strongly Nonlinear Singular Boundary Value Problems in Physiology;IEEE Access;2022
4. Gevrey regularity of the solutions of the inhomogeneous partial differential equations with a polynomial semilinearity;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-06-15
5. Summability of the Formal Power Series Solutions of a Certain Class of Inhomogeneous Partial Differential Equations with a Polynomial Semilinearity and Variable Coefficients;Results in Mathematics;2021-05-18
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3