Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case

DOI10.1016/S0034-4877(22)00010-6MaRDI QIDQ2123424

Marianna Chatzakou, N. E. Tokmagambetov, Michael Ruzhansky

Publication date: 8 April 2022

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04126

zbMATH Keywords

Schrödinger equationregularisationgeneralised solutionsingular potentialvery weak solutiongraded Lie groupdistributional coefficientrockland operator

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Related Items (3)

The heat equation with singular potentials. II: Hypoelliptic case ⋮ Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential ⋮ Schrödinger equation with singular position dependent mass

Cites Work

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• Quantization on nilpotent Lie groups
• Wave equation for operators with discrete spectrum and irregular propagation speed
• On a class of anharmonic oscillators
• Time-dependent wave equations on graded groups
• Fractional Klein-Gordon equation with singular mass
• The heat equation with strongly singular potentials
• Acoustic and shallow water wave propagation with irregular dissipation
• Very weak solutions to hypoelliptic wave equations
• Hyperbolic second order equations with non-regular time dependent coefficients
• Fractional Schrödinger equation with singular potentials of higher order
• Noncommutative microlocal analysis. I
• Sur Les Représentations Unitaires Des Groupes De Lie Nilpotents. III
• Minimum Eigenvalues for Positive, Rockland Operators
• Caracterisation des operateurs hypoelliptiques homogenes
• Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Quantizations on the Engel and the Cartan groups
• On (λ, μ)-Classes on the Engel Group
• On the wave equation with multiplicities and space-dependent irregular coefficients
• Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case

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