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
The Cauchy problem for critical and subcritical semilinear parabolic equations in Lr(I)
โ Scribed by Wang Baoxiang
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 174 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0362-546X
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