Solvability of partial differential equations of nonlinear totally characteristic type with resonances

Hidetoshi TAHARA

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Solvability of partial differential equations of nonlinear totally characteristic type with resonances

机译：非线性全特征型共振偏微分方程的可解性。

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摘要

Let us consider the following nonlinear singular partial differential equation (tpartial deriv/partial derivt)~m u = F(t,x, {(tpartial deriv/partial derivt)~j (partial deriv/partial derivx)~αu}_(j+α≤ m, j

机译：让我们考虑下面的非线性奇异偏微分方程（t偏导数/偏导数）〜mu = F（t，x，{（t偏导数/偏导数）〜j（偏导数/偏导数）〜αu} _（j +在复数域中α≤m，j

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来源
《Journal of the Mathematical Society of Japan》 |2003年第4期|p.1095-1113|共19页
作者
Hidetoshi TAHARA;
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作者单位

Department of Mathematics Sophia University Kioicho, Ohiyoda-ku Tokyo 102-8554 Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
nonlinear PDE; totally characteristic PDE; fuchsian type PDE; complex domain; solvability; resonance;

机译：非线性PDE;完全特征PDE;Fussian型PDE;复杂域;可解性;共振;

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1. Maillet type theorem for singular first order nonlinear partial differential equations of totally characteristic type. Part II [J] . Akira Shirai Opuscula Mathematica . 2015,第5期

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2. Maillet type theorem for nonlinear totally characteristic partial differential equations [J] . Lastra Alberto, Tahara Hidetoshi Mathematische Annalen . 2020,第3a4期

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3. The Use of Variational Iteration Method, Differential Transform Method and Adomian Decomposition Method for Solving Different Types of Nonlinear Partial Differential Equations [J] . Necdet Bildik, Ali Konuralp International journal of nonlinear sciences and numerical simulation . 2006,第1期

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5. Peridynamics for Solving Linear/Nonlinear Ordinary and Partial Differential Equations [D] . Dorduncu, Mehmet 2018

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6. An ansatz for solving nonlinear partial differential equations in mathematical physics [O] . M. Ali Akbar, Norhashidah Hj. Mohd. Ali -1

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7. CONVERGENCE OF FORMAL SOLUTIONS OF SINGULAR FIRST ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF TOTALLY CHARACTERISTIC TYPE (Integral representations and twisted cohomology in the theory of differential equations) [O] . Shirai Akira 2001

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8. Equations of Nonlinear Schroedinger Type in 1 + 1 and 2 + 1 Dimensions, Obtained from Integrable Partial Differential Equations (PDES) [R] . Calogero, F., MacCari, A. 1987

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Solvability of partial differential equations of nonlinear totally characteristic type with resonances

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