Non-blow-up phenomenon for the Cahn–Hilliard equation with non-constant mobility
نویسندگان
چکیده
منابع مشابه
On the Blow-Up Set for Non-Newtonian Equation with a Nonlinear Boundary Condition
and Applied Analysis 3 Theorem 1.2. Assume that u0 x ∈ C1 0, ∞ is a nonnegative, nonincreasing and compactly supported function, then all the nontrivial solutions u x, t of problem 1.5 occur blow-up; moreover, the blow-up set B u satisfies [ 0, p ( p − 1) p − 2 ) ⊂ B u ⊂ [ 0, p ( p − 1) p − 2 ] . 1.6 Remark 1.3. The nonincreasing assumption on u0 makes the proof much simpler see also 7 . Remark...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.12.028