2026-04-17T01:06:22Zhttps://recercat.cat/oai/requestoai:recercat.cat:2072/4893082026-03-10T08:55:57Zcom_2072_199267com_2072_4427col_2072_201036
RECERCAT
author
Fernández-Real, X.
author
Ros-Oton, Xavier
author
Weidner, M.
2026-03-10T08:17:38Z
2026-03-10T08:17:38Z
2025-07-02
https://hdl.handle.net/2072/489308
10.1007/s00220-025-05356-9
We prove that solutions to the Boltzmann equation without cut-off satisfying
pointwise bounds on some observables (mass, pressure, and suitable moments) enjoy
a uniform bound in L∞ in the case of hard potentials. As a consequence, we derive
C∞ estimates and decay estimates for all derivatives, conditional to these macroscopic
bounds. Our L∞ estimates are uniform in the limit s 1 and hence we recover the
same results also for the Landau equation.
eng
Attribution 4.0 International
Regularity for the Boltzmann Equation Conditional to Pressure and Moment Bounds
info:eu-repo/semantics/article
URL
https://recercat.cat/bitstream/2072/489308/1/Regularity%20for%20the%20Boltzmann%20Equation%20Conditional%20to%20Pressure%20and%20Moment%20Bounds.pdf
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fc9f7f003ce519f00515025a8f34cb9c
662920
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Regularity for the Boltzmann Equation Conditional to Pressure and Moment Bounds.pdf
URL
https://recercat.cat/bitstream/2072/489308/3/Regularity%20for%20the%20Boltzmann%20Equation%20Conditional%20to%20Pressure%20and%20Moment%20Bounds.pdf.txt
File
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6156b057ac0f713b905e3200806fc301
92936
text/plain
Regularity for the Boltzmann Equation Conditional to Pressure and Moment Bounds.pdf.txt