Pseudodifferential parabolic equations; two examples
KeywordsFractal parabolic equation, fractional powers of sectorial operator, monotone operator, global solution, global attractor
AbstractThe 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.
How to Cite
DŁOTKO, Tomasz, KANIA, Maria B. & SUN, Chunyou. Pseudodifferential parabolic equations; two examples. Topological Methods in Nonlinear Analysis [online]. 12 April 2016, T. 43, nr 2, s. 463–492. [accessed 27.11.2021].
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