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The Cauchy Problem in Local Spaces for the Complex Ginzburg—Landau Equation¶II. Contraction Methods

✍ Scribed by J. Ginibre; G. Velo


Book ID
105904226
Publisher
Springer
Year
1997
Tongue
English
Weight
353 KB
Volume
187
Category
Article
ISSN
0010-3616

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The Cauchy problem for critical and subc
✍ Wang Baoxiang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 198 KB

By presenting some time-space L p -L r estimates, we will establish the local and global existence and uniqueness of solutions for semilinear parabolic equations with the Cauchy data in critical Sobolev spaces of negative indices. Our results contain the complex (derivative) Ginzburg-Landau equation