A class of second order quasilinear evolution equations 2階準線形発展方程式の一つのクラス
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Bibliographic Information
- Title
-
A class of second order quasilinear evolution equations
- Other Title
-
2階準線形発展方程式の一つのクラス
- Author
-
池畠, 良
- Author(Another name)
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イケハタ, リョウ
- University
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東京理科大学
- Types of degree
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理学博士
- Grant ID
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甲第163号
- Degree year
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1991-03-20
Note and Description
博士論文
Table of Contents
- TABLE OF CONTENTS / (0004.jp2)
- Introduction / p1 (0005.jp2)
- Chapter I. Yosida approximation and nonlinear hyperbolic equation / p7 (0011.jp2)
- §1. Preliminaries / p7 (0011.jp2)
- §2. Statement of the main theorem / p11 (0015.jp2)
- §3. Proof of theorem 2.1 / p13 (0017.jp2)
- §4. The regularity of solutions / p27 (0031.jp2)
- §5. The application to a nonlinear wave equation / p35 (0039.jp2)
- Chapter II. Orthogonal decompositions and nonlinear wave equations with Neumann conditions / p38 (0042.jp2)
- §1. Elementary tools / p38 (0042.jp2)
- §2. An abstract model / p40 (0044.jp2)
- §3. Main result and its proof / p42 (0046.jp2)
- §4. Applications and asymptotic behaviour / p50 (0054.jp2)
- Chapter III. 0n solutions to some quasilinear hyperbolic equations with nonlinear inhomogeneous terms / p59 (0063.jp2)
- §1. Statement of the result / p59 (0063.jp2)
- §2. Abstract evolution equations / p61 (0065.jp2)
- §3. Proof of theorem 1.3 / p65 (0069.jp2)
- §4. Some applications / p82 (0086.jp2)
- §5. Nonexistence of global solutions / p85 (0089.jp2)
- §6. Applications of theorem 5.1 / p89 (0093.jp2)
- §7. Global strong solutions / p93 (0097.jp2)
- References / p96 (0100.jp2)