A Class of Counterexamples to the Fefferman–Phong Inequality for Systems

DOI10.1081/PDE-200037706zbMath1072.35213OpenAlexW2089243347MaRDI QIDQ3157927

Alberto Parmeggiani

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-200037706

zbMATH Keywords

lower boundsGårding inequalitysystem of pseudo-differential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Pseudodifferential operators (47G30)

Related Items (10)

On the Generalization of Hörmander's Inequality ⋮ On a class of hyperbolic equations in Weyl-Hörmander calculus ⋮ On positivity of certain systems of partial differential equations ⋮ Non-commutative harmonic oscillators and related problems ⋮ Fefferman's SAK principle and a priori estimates for second order operators ⋮ A priori estimates for second order operators with symplectic characteristic manifold ⋮ Cauchy problem for effectively hyperbolic operators with triple characteristics ⋮ L^pbounds inS(m,g)-calculus ⋮ On the Problem of Positivity of Pseudodifferential Systems ⋮ A lower bound for systems with double characteristics

Cites Work

• Lower bounds for systems with double characteristics.
• Semi-boundedness of systems of differential operators
• The Cauchy problem for differential equations with double characteristics
• A necessary and sufficient condition for Melin's inequality for a class of systems
• Pseudo-differential operators and non-elliptic boundary problems
• ON MELIN'S INEQUALITY FOR SYSTEMS
• On the subelliptic test estimates
• The weyl calculus of pseudo-differential operators
• On positivity of pseudo-differential operators
• Lower bounds for pseudo-differential operators

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