Pseudodifferential parabolic equations; two examples
Keywords
Fractal parabolic equation, fractional powers of sectorial operator, monotone operator, global solution, global attractorAbstract
The paper is devoted to local and global solvability and existence of a global attractor for an exemplary 'parabolic' problem containing fractional powers of the minus Laplace operator. We want to compare, which properties of the similar semilinear heat equation are preserved when we replace the pure minus Laplace operator by a fractional power of that operator. Several useful technical tools and estimates are collected in that paper.Downloads
Published
2016-04-12
How to Cite
1.
DŁOTKO, Tomasz, KANIA, Maria B. and SUN, Chunyou. Pseudodifferential parabolic equations; two examples. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 2, pp. 463 - 492. [Accessed 29 March 2024].
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