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A method of energy estimates in L<SUP>∞</SUP> and its application to porous medium equations
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- ÔTANI Mitsuharu
- Department of Applied Physics School of Science and Engineering Waseda University
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- SUGIYAMA Yoshie
- Department of Mathematics and Computer Science Department of Mathematics School of Science and Engineering Waseda University
Bibliographic Information
- Other Title
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- 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
- 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
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Description
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.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 53 (4), 745-789, 2001
The Mathematical Society of Japan
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Keywords
Details 詳細情報について
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- CRID
- 1390282680092430208
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- NII Article ID
- 10007156309
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 1852882
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- NDL BIB ID
- 5963450
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL Search
- Crossref
- CiNii Articles
- OpenAIRE
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- Abstract License Flag
- Disallowed