The paper establishes uniform endpoint majorants for integrals ∫_0^x e^{-γ t} w(t) t^{-μ} I_μ(t) dt ≤ C e^{-γ x} w(x) x^{-μ} I_{μ+1}(x) under monotonicity conditions on w, resolving Gaunt's open problem for 0<γ<1.
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3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Existence of space-time localized rogue wave solutions is shown for the semilinear wave equation with variable coefficients via variational methods under sufficient conditions on coefficients, operator, and p>1.
Proves unique strong global solutions for small data in a 3D viscoelastic Navier-Stokes-Biot system with Beavers-Joseph-Saffman conditions via spectral analysis, and establishes a Serrin-type blow-up criterion.
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Weighted Uniform Endpoint Majorants for Integrals Involving Modified Bessel Functions
The paper establishes uniform endpoint majorants for integrals ∫_0^x e^{-γ t} w(t) t^{-μ} I_μ(t) dt ≤ C e^{-γ x} w(x) x^{-μ} I_{μ+1}(x) under monotonicity conditions on w, resolving Gaunt's open problem for 0<γ<1.
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Rogue waves for semilinear wave equations
Existence of space-time localized rogue wave solutions is shown for the semilinear wave equation with variable coefficients via variational methods under sufficient conditions on coefficients, operator, and p>1.
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Strong well-posedness of a fluid--poro-viscoelastic interaction problem: An approach by Spectral analysis
Proves unique strong global solutions for small data in a 3D viscoelastic Navier-Stokes-Biot system with Beavers-Joseph-Saffman conditions via spectral analysis, and establishes a Serrin-type blow-up criterion.