3 problems

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Fujita critical-exponent conjecture for the semilinear dissipative Timoshenko system
Consider the semilinear dissipative Timoshenko system with equal wave speeds, let $p$ be the power of its semilinear term, and write $p_{\mathrm{Fuj}}(1)=3$ . The paper establishes…
Conjectureopendissipative-systems partial-differential-equations timoshenko-systemsarXiv posted 2 days ago
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Sharpness of the power restriction for semilinear dissipative Timoshenko systems
Consider semilinear Timoshenko systems with the various dissipations studied in the cited works, and let $p$ denote the power of the semilinear term. Sharpness conjecture. The rest…
Conjectureopendissipative-systems partial-differential-equations timoshenko-systemsarXiv posted 2 days ago
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Optimality of lower energy decay estimates for the Timoshenko system
The paper considers lower estimates for the energy decay of the nonlinearly damped Timoshenko system with thermoelasticity. Optimality conjecture. Driving these lower estimates sho…
Conjectureopenenergy-decay thermoelasticity timoshenko-systemsarXiv posted 2 days ago

Fujita critical-exponent conjecture for the semilinear dissipative Timoshenko system