On the fractional order hyperbolic equation with random coefficients

DOI10.1080/00036811.2021.1959555zbMath1512.35628OpenAlexW3189640636WikidataQ115552830 ScholiaQ115552830MaRDI QIDQ6038975

Xiaojun Lu

Publication date: 3 May 2023

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1959555

zbMATH Keywords

microlocal analysisloss of regularityinstability argumentrandom oscillating coefficientsfactional order hyperbolic equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs with randomness, stochastic partial differential equations (35R60) Abstract hyperbolic equations (35L90) Initial value problems for PDEs with pseudodifferential operators (35S10) Fractional partial differential equations (35R11)

Related Items (1)

On the Klein-Gordon equation with randomized oscillating coefficients on the sphere

Cites Work

• Unnamed Item
• Regularity of hyperbolic magnetic Schrödinger equation with oscillating coefficients
• \(\nu \)-loss of derivatives for an evolution type model
• Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems
• The Log-effect for \(p\)-evolution type models
• On the optimal regularity of coefficients in hyperbolic Cauchy problems.
• Semi-linear fractional \(\sigma\)-evolution equations with mass or power non-linearity
• Hyperbolic operators with non-Lipschitz ceofficients
• On semilinear Tricomi equations with critical exponents or in two space dimensions
• Levi condition for hyperbolic equations with oscillating coefficients
• A remark on normal forms and the ``I-method for periodic NLS
• Instability Behavior and Loss of Regularity
• Does the loss of regularity really appear?
• On the Cauchy problem for second order strictly hyperbolic equations with non–regular coefficients
• Loss of regularity for the solutions to hyperbolic equations with non-regular coefficients?an application to Kirchhoff equation
• Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation, II
• Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation

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