3 problems

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Varaiya's isometry conjecture for locally controllable gradient systems
Consider two locally controllable gradient systems, with state spaces equipped with their underlying pseudo-Riemannian manifolds, and let a state space diffeomorphism identify thei…
Conjectureopencontrol-theory gradient-systems pseudo-riemannian-geometryarXiv posted 2 days ago
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Conjecture on the necessity of additional homogenization conditions
Necessity conjecture. These two additional conditions are not really necessary for the homogenization conclusions of Theorem Homogenization I to remain true. The conjecture concern…
Conjectureopengamma-convergence gradient-systems homogenizationarXiv posted 2 days ago
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Conjecture on the interaction between consecutive fronts in multiple-well systems
Let $U$ be a finite energy stationary solution, with limits $igma^\pm$ as $x\to\pm\infty$ and asymptotic directions $\upomega^\pm$ satisfying … with…
Conjectureopenfront-interaction gradient-systems multiple-well-potentialsarXiv posted 2 days ago

Varaiya's isometry conjecture for locally controllable gradient systems