Sharp Regularizing Estimates for the Gain Term of the Boltzmann Collision Operator
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Publication:5124629
DOI10.1137/19M1266939zbMath1448.35354arXiv1810.12539OpenAlexW3080454149MaRDI QIDQ5124629
Publication date: 30 September 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.12539
Fourier integral operatorhard potentialBoltzmann collision operatorhard sphereMaxwell moleculeregularizinggain term
Smoothness and regularity of solutions to PDEs (35B65) Fourier integral operators applied to PDEs (35S30) Boltzmann equations (35Q20)
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- Averages of functions over hypersurfaces in \(\mathbb R^n\)
- Gain of integrability for the Boltzmann collisional operator
- Regularizing effect and local existence for the non-cutoff Boltzmann equation
- Averages over hypersurfaces. Smoothness of generalized Radon transforms
- A review of Boltzmann equation with singular kernels
- Estimates for the Boltzmann collision operator via radial symmetry and Fourier transform
- \(L^ p\)-estimates for the nonlinear spatially homogeneous Boltzmann equation
- Averages over hypersurfaces. II
- Global \(L^ p\)-properties for the spatially homogeneous Boltzmann equation
- A proof of the smoothing properties of the positive part of Boltzmann's kernel
- A direct method for the regularity of the gain term in the Boltzmann equation
- Compactness in Boltzmann's equation via Fourier integral operators and applications. I, II
- Regularity theory for the spatially homogeneous Boltzmann equation with cut-off
- Convolution inequalities for the Boltzmann collision operator
- Boltzmann collision operator for the infinite range potential: a limit problem
- On estimates of the Boltzmann collision operator with cut-off
- Smoothing Property of the Gain Term of the Boltzmann Collision Operator
- Fourier Analysis and Nonlinear Partial Differential Equations
- Regularity in the boltzmann equation and the radon transform
- On the Boltzmann equation for long-range interactions
