1994 Fiscal Year Annual Research Report

非線形偏微分方程式論における実解析的方法

Research Project

Project/Area Number	06640246
Research Institution	Ehime University
Principal Investigator	鈴木貴愛媛大学, 理学部, 教授 (40114516)
Co-Investigator(Kenkyū-buntansha)	野倉嗣紀愛媛大学, 理学部, 教授 (00036419) 方青愛媛大学, 理学部, 助手 (10243544) 土屋卓也愛媛大学, 理学部, 助教授 (00163832) 山本哲朗愛媛大学, 理学部, 教授 (80034560) 坂口茂愛媛大学, 理学部, 助教授 (50215620)
Keywords	半線形楕円型境界値問題 / 特異放物型方程式 / 数値解の精度保証 / 曲率方程式 / 大域的分岐図 / 解の漸近挙動 / 逆問題 / 反応拡散方程式
Research Abstract	(1)弾性膜の自由境界問題を記述する平均曲率方程式についてnon-Newtonianの場合の非自明解の存在が変分法によりまたpondent dropの大域分岐図の無限図の揺れが常微分作用素の振動定理によって示された。 (2)2次元のSoboleo臨界を表わすTwdonger不等式と関係する半線形楕円型境界値問題の解の漸近挙動に関して、偏微分方程式固有の方法によって従来の結果が精密化され、変分問題に対して適用された。 (3)楕円型境界値問題の不安定な解を数値的に効率良く求める方法としてNehariの変分原理と関係する反復列が大変有効であることを理論的に解明し、数値計算によって実証した。

Research Products

(14 results)

All Other

All Publications (14 results)

[Publications] Narukawa,K.,Suzuki,T.: "Nonlinear eigenvalue problem for a modified capillavy scs-face equation" Funkcial.Ekvac.37. 81-100 (1994)
[Publications] Nagasaki,K.,Suzuki,T.: "Spectral and related properties about the Emdon-Fowler equation Δu=xe^u on circulan domains" Math.Ann.299. 1-15 (1994)
[Publications] Ogawa,T.,Suzuki,T.,: "Nonlinear elliptic equations with aitical growth related to the Twdinger eregqeality" Asymptotic Analysis. (to appear).
[Publications] Ogawa,T.,Suzuki,T.,: "Microscopic asymptotics for solertions of some semilinear elliptic equations" Nagoya Math.J.(to appear).
[Publications] Narukawa,K.,Suzuki,T.,: "Oscillalory theorem and pendent liquid drops" Pacific J.Math.(to appear).
[Publications] Mizutani,A.,Suzuki,T.: "On the iteratwe and minimizing sequences for semilinear elliptic equations" Japon J. Indu.App1.Math.(to appear).
[Publications] Fujita,H.,Taniyama,S.,: "On homogeneity of hyper space of rationals" Tsukuba Math.J.(to appear).
[Publications] Kan-on,Y.,Fang,Q.,: "Slability of fravelling wave solutions for competition-diffusion equations" Japan J.Indus.App1.Math.(to appear).
[Publications] Jimbo,S.,Sakaguchi,S.,: "Movement of hot spots over anbounded domain in IR^N." J.Math.Anal.App1.182. 810-835 (1994)
[Publications] Sakaguchi,S.,: "Critical points of solutions to the obstacle problem in the plane" Ann.Acoula Norm.Sup.Pisu Ser,IV. 21. 157-173 (1994)
[Publications] Chen,X,Yamamoto,T,: "Newton-like methods for solving un determined nonlirear systems will nondifferentrable terms" J.Comp.Appl.Math.55(in press). (1995)
[Publications] Suzuki,T.,: "Positive solutions for semilinear elliptic equations on expanding annului:mountair pass approach" Funkcial Ekvac.(to appear).
[Publications] 田中博・鈴木貴・岡部政之: "逆問題" 岩波書店, 106 (1994)
[Publications] 鈴木貴: "Semilinear Elliptic Equations" 学校図書, 337 (1994)

1994 Fiscal Year Annual Research Report

非線形偏微分方程式論における実解析的方法

Principal Investigator

鈴木 貴 愛媛大学, 理学部, 教授 (40114516)

Research Products

[Publications] Narukawa,K.,Suzuki,T.: "Nonlinear eigenvalue problem for a modified capillavy scs-face equation" Funkcial.Ekvac.37. 81-100 (1994)

[Publications] Nagasaki,K.,Suzuki,T.: "Spectral and related properties about the Emdon-Fowler equation Δu=xe^u on circulan domains" Math.Ann.299. 1-15 (1994)

[Publications] Ogawa,T.,Suzuki,T.,: "Nonlinear elliptic equations with aitical growth related to the Twdinger eregqeality" Asymptotic Analysis. (to appear).

[Publications] Ogawa,T.,Suzuki,T.,: "Microscopic asymptotics for solertions of some semilinear elliptic equations" Nagoya Math.J.(to appear).

[Publications] Narukawa,K.,Suzuki,T.,: "Oscillalory theorem and pendent liquid drops" Pacific J.Math.(to appear).

[Publications] Mizutani,A.,Suzuki,T.: "On the iteratwe and minimizing sequences for semilinear elliptic equations" Japon J. Indu.App1.Math.(to appear).

[Publications] Fujita,H.,Taniyama,S.,: "On homogeneity of hyper space of rationals" Tsukuba Math.J.(to appear).

[Publications] Kan-on,Y.,Fang,Q.,: "Slability of fravelling wave solutions for competition-diffusion equations" Japan J.Indus.App1.Math.(to appear).

[Publications] Jimbo,S.,Sakaguchi,S.,: "Movement of hot spots over anbounded domain in IR^N." J.Math.Anal.App1.182. 810-835 (1994)

[Publications] Sakaguchi,S.,: "Critical points of solutions to the obstacle problem in the plane" Ann.Acoula Norm.Sup.Pisu Ser,IV. 21. 157-173 (1994)

[Publications] Chen,X,Yamamoto,T,: "Newton-like methods for solving un determined nonlirear systems will nondifferentrable terms" J.Comp.Appl.Math.55(in press). (1995)

[Publications] Suzuki,T.,: "Positive solutions for semilinear elliptic equations on expanding annului:mountair pass approach" Funkcial Ekvac.(to appear).

[Publications] 田中博・鈴木貴・岡部政之: "逆問題" 岩波書店, 106 (1994)

[Publications] 鈴木貴: "Semilinear Elliptic Equations" 学校図書, 337 (1994)

鈴木貴愛媛大学, 理学部, 教授 (40114516)