MSC:
34D20,
35B35,
35K51,
35K57,
35K86,
35K87,
47H05,
47H11,
47J20,
47J35 | MR 3238834 | Zbl 06362253

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reaction-diffusion system; Signorini condition; unilateral obstacle; instability; asymptotic stability; parabolic obstacle equation

References:

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[4] Kim, I.-S., Väth, M.: **The Krasnosel'skii-Quittner formula and instability of a reaction-diffusion system with unilateral obstacles**. Submitted to Dyn. Partial Differ. Equ. 20 pages.

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[8] Väth, M.: **Ideal Spaces**. Lecture Notes in Mathematics 1664 Springer, Berlin (1997). MR 1463946 | Zbl 0896.46018

[9] Väth, M.: **Continuity and differentiability of multivalued superposition operators with atoms and parameters. I**. Z. Anal. Anwend. 31 (2012), 93-124. DOI 10.4171/ZAA/1450 | MR 2899873 | Zbl 1237.47065

[10] Ziemer, W. P.: **Weakly Differentiable Functions. Sobolev Spaces and Functions of Bounded Variation**. Graduate Texts in Mathematics 120 Springer, Berlin (1989). DOI 10.1007/978-1-4612-1015-3 | MR 1014685 | Zbl 0692.46022