Lifespan estimates of 1D non-gauge invariant semilinear semirelativistic equations

DOI10.1016/j.aml.2021.107619zbMath1479.35137OpenAlexW3197538648MaRDI QIDQ2060895

Kazumasa Fujiwara

Publication date: 13 December 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107619

zbMATH Keywords

semirelativistic equationlifespan estimatenon-gauge invariant power type nonlinearity

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (1)

Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity

Cites Work

• Small data blow-up of \(L^2\)-solution for the nonlinear Schrödinger equation without gauge invariance.
• Remark on local solvability of the Cauchy problem for semirelativistic equations
• Fractional derivatives of composite functions and the Cauchy problem for the nonlinear half wave equation
• A test function method for evolution equations with fractional powers of the Laplace operator
• Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method
• Some non-existence results for the semilinear Schrödinger equation without gauge invariance
• Blow-up results for semi-linear structurally damped \(\sigma\)-evolution equations
• Some nonexistence results for a semirelativistic Schrödinger equation with nongauge power type nonlinearity
• A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity

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