Contraction semigroups of elliptic quadratic differential operators

DOI10.1007/s00209-007-0230-4zbMath1139.47033arXiv0705.0950OpenAlexW2952061456MaRDI QIDQ2482711

Karel Pravda-Starov

Publication date: 23 April 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.0950

zbMATH Keywords

contraction semigroupWeyl quantisationcomplex-valued elliptic quadratic formelliptic quadratic differential operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Higher-order elliptic equations (35J30)

Related Items (13)

Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians ⋮ Propagation of global analytic singularities for Schrödinger equations with quadratic Hamiltonians ⋮ Spectral projections and resolvent bounds for partially elliptic quadratic differential operators ⋮ Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion ⋮ Short-time asymptotics of the regularizing effect for semigroups generated by quadratic operators ⋮ Eigenvalues and subelliptic estimates for non-selfadjoint semiclassical operators with double characteristics ⋮ Non-Hermitian propagation of Hagedorn wavepackets ⋮ \( L^p\)-bounds for semigroups generated by non-elliptic quadratic differential operators ⋮ Exponential return to equilibrium for hypoelliptic quadratic systems ⋮ Propagation of Gabor singularities for Schrödinger equations with quadratic Hamiltonians ⋮ On the pseudospectrum of elliptic quadratic differential operators ⋮ Subelliptic estimates for overdetermined systems of quadratic differential operators ⋮ Semiclassical Hypoelliptic Estimates for Non-Selfadjoint Operators with Double Characteristics

Cites Work

• A class of hypoelliptic pseudodifferential operators with double characteristics
• Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential
• Symplectic classification of quadratic forms, and general Mehler formulas
• Pseudospectra of semiclassical (pseudo-) differential operators
• Parametrices for pseudodifferential operators with multiple characteristics
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