Non-Elliptic Quadratic Forms and Semiclassical Estimates for Non-selfadjoint Operators

DOI10.1093/IMRN/RNS188zbMath1295.47050arXiv1109.5045OpenAlexW2099791827MaRDI QIDQ2878671

Joe Viola

Publication date: 4 September 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5045

Mathematics Subject Classification ID

Pseudodifferential operators (47G30)

Related Items (10)

Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians ⋮ Generalized Mehler formula for time-dependent non-selfadjoint quadratic operators and propagation of singularities ⋮ Propagation of global analytic singularities for Schrödinger equations with quadratic Hamiltonians ⋮ Null-controllability of hypoelliptic quadratic differential equations ⋮ Short-time asymptotics of the regularizing effect for semigroups generated by quadratic operators ⋮ SPECTRAL INEQUALITIES FOR COMBINATIONS OF HERMITE FUNCTIONS AND NULL-CONTROLLABILITY FOR EVOLUTION EQUATIONS ENJOYING GELFAND–SHILOV SMOOTHING EFFECTS ⋮ \( L^p\)-bounds for semigroups generated by non-elliptic quadratic differential operators ⋮ Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians ⋮ Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports ⋮ QUADRATIC DIFFERENTIAL EQUATIONS: PARTIAL GELFAND–SHILOV SMOOTHING EFFECT AND NULL-CONTROLLABILITY

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