Matioc, Bogdan-Vasile and Schmitz, Lina Sophie and Walker, Christoph (2025) On the principle of linearized stability for quasilinear evolution equations in time-weighted spaces. MATHEMATISCHE NACHRICHTEN, 298 (12). pp. 3939-3959. ISSN 0025-584X, 1522-2616
Full text not available from this repository. (Request a copy)Abstract
Quasilinear (and semilinear) parabolic problems of the form with strict inclusion of the domains of the function and the quasilinear part are considered in the framework of time-weighted function spaces. This allows one to establish the principle of linearized stability in intermediate spaces lying between and and yields a greater flexibility with respect to the phase space for the evolution. In applications to differential equations, such intermediate spaces may correspond to critical spaces exhibiting a scaling invariance. Several examples are provided to demonstrate the applicability of the results.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CHEMOTAXIS SYSTEM; CONVERGENCE; interpolation spaces; principle of linearized stability; quasilinear parabolic problem |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Jun 2026 07:48 |
| Last Modified: | 23 Jun 2026 07:48 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66789 |
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