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a priori bounds for gradients of solutions to quasilinear inhomogeneous fast-growing parabolic systems

โœ Scribed by Jan Burczak


Book ID
113722031
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
230 KB
Volume
393
Category
Article
ISSN
0022-247X

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Global existence of classical solutions
โœ Ta-Tsien Li; Libin B. Wang ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 243 KB

In this paper, we consider the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems. Under the assumption that the leftmost (resp. rightmost) eigenvalue is weakly linearly degenerate, we obtain the global existence and uniqueness of C 1 solution with small