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On the behaviour of solutions of degenerated nonlinear parabolic equations

โœ Scribed by T.S. Gadjiev; R.A. Rasulov

Book ID
116217536
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
199 KB
Volume
25
Category
Article
ISSN
0893-9659

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๐Ÿ“œ SIMILAR VOLUMES

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โœ Tokumori Nanbu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 350 KB

We study the existence and some estimates of solution of the initial- boundary value problem for some nonlinear degenerate parabolic equations \[ u_{t}=\Delta\left(|u|^{m-1} u\right)+\sum_{k=1}^{N} b_{k} \frac{\partial\left(|u|^{l} u\right)}{\partial x_{k}}-A(u)+f(x, t) \]

Continuous Dependence on the Nonlinearit
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โœ B Cockburn; G Gripenberg ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

Explicit estimates for the continuous dependence in L ([0, T]; L 1 (R d )) of solutions of the equation l v={ } (8(v))+2(.(v)) (in (0, )\_R d with initial condition v(0, } )=h) with respect to the nonlinear continuously differential functions 8 and . are established.