Some nonexistence results for space-time fractional Schrödinger equations without gauge invariance
DOI10.1007/s13540-022-00046-yzbMath1503.35212arXiv2110.01797OpenAlexW3204242940WikidataQ114017010 ScholiaQ114017010MaRDI QIDQ2110528
Ahmad Z. Fino, Mukhtar Bin Muhammad Kirane
Publication date: 21 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.01797
Schrödinger equationsfractional derivatives and integralstest function methodnonexistence of global solution
Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)
Cites Work
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- The nonexistence of global solutions for a time fractional nonlinear Schrödinger equation without gauge invariance
- Small data blow-up of \(L^2\)-solution for the nonlinear Schrödinger equation without gauge invariance.
- Ten equivalent definitions of the fractional Laplace operator
- Small data blow-up of \(L^2\) or \(H^1\)-solution for the semilinear Schrödinger equation without gauge invariance
- Space-time fractional Schrödinger equation with time-independent potentials
- Fractional quantum mechanics and Lévy path integrals
- Blow-up of solutions for semilinear fractional Schrödinger equations
- Continuous and discrete one dimensional autonomous fractional ODEs
- Errata to: ``Blow-up of solutions for semilinear fractional Schrödinger equations
- Time fractional Schrödinger equation revisited
- Strichartz estimates for space-time fractional Schrödinger equations
- Some non-existence results for the semilinear Schrödinger equation without gauge invariance
- Blow-up results for semi-linear structurally damped \(\sigma\)-evolution equations
- Fractals and quantum mechanics
- A blow-up result for a nonlinear wave equation with damping: The critical case
- Some nonexistence results for a semirelativistic Schrödinger equation with nongauge power type nonlinearity
- And I say to myself: “What a fractional world!”
- A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs
- A note for the global nonexistence of semirelativistic equations with nongauge invariant power type nonlinearity
- Time fractional Schrödinger equation
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