A method of energy estimates in L∞ and its application to porous medium equations--Dedicated to Professor Kyuya MASUDA on the occasion of his 60-th birthday
-
- ÔTANI Mitsuharu
- Department of Applied Physics School of Science and Engineering Waseda University
-
- SUGIYAMA Yoshie
- Department of Mathematics and Computer Science Department of Mathematics School of Science and Engineering Waseda University
書誌事項
- タイトル別名
-
- A method of energy estimates in L<SUP>∞</SUP> and its application to porous medium equations
- method of energy estimates in L and its application to porous medium equations Dedicated to Professor Kyuya MASUDA on the occasion of his 60 th birthday
- A method of energy estimates in L∞ and its application to porous medium equations
- Dedicated to Professor Kyuûya MASUDA on the occasion of his 60-th birthday
この論文をさがす
説明
The existence of time local C∞-solutions is shown for Cauchy problem of the porous medium equations. Our arguments rely on the“ L∞-energy method”developed in our previous paper [{16}] and a new method based on the theory of evolution equations in the L2-framework which enables us to handle with perturbations which can be decomposed into monotone parts and small parts in Sobolev spaces of higher order.
収録刊行物
-
- Journal of the Mathematical Society of Japan
-
Journal of the Mathematical Society of Japan 53 (4), 745-789, 2001
一般社団法人 日本数学会
- Tweet
キーワード
詳細情報 詳細情報について
-
- CRID
- 1390282680092430208
-
- NII論文ID
- 10007156309
-
- NII書誌ID
- AA0070177X
-
- ISSN
- 18811167
- 18812333
- 00255645
-
- MRID
- 1852882
-
- NDL書誌ID
- 5963450
-
- 本文言語コード
- en
-
- データソース種別
-
- JaLC
- NDLサーチ
- Crossref
- CiNii Articles
- OpenAIRE
-
- 抄録ライセンスフラグ
- 使用不可