The Log-effect for \(p\)-evolution type models

DOI10.2969/jmsj/06030819zbMath1170.35057OpenAlexW2152522895MaRDI QIDQ945891

Michael Reissig, Fumihiko Hirosawa, Massimo Cicognani

Publication date: 18 September 2008

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06030819

zbMATH Keywords

well-posednessSchrödinger equationloss of regularitycounter-examplesnon-regular coefficients

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (11)

On the Klein-Gordon equation with randomized oscillating coefficients on the sphere ⋮ On the fractional order hyperbolic equation with random coefficients ⋮ On the optimal regularity of plate equations with randomized time‐dependent coefficients ⋮ On the magnetic Schrödinger hyperbolic equation with randomized coefficients ⋮ On the plate equation with nonstationary stochastic process coefficients ⋮ Counterexample of loss of regularity for fractional order evolution equations with both degenerating and oscillating coefficients ⋮ Loss of regularity for \(p\)-evolution type models ⋮ Regularity of hyperbolic magnetic Schrödinger equation with oscillating coefficients ⋮ Counter-examples of regularity behavior for \(\sigma \)-evolution equations ⋮ \(\nu \)-loss of derivatives for an evolution type model ⋮ Time-dependent wave equations on graded groups

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• Some examples of hyperbolic equations without local solvability
• NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
• Loss of regularity for the solutions to hyperbolic equations with non-regular coefficients?an application to Kirchhoff equation
• Schrödinger equations of higher order

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