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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/231527
Lp estimates for the Laplacian via blow-up
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In this note we provide a new proof of the 2,
Calderón-Zygmund regularity estimates for the Laplacian, i.e., Δ =
and its parabolic counterpart ∂ − Δ =
. Our proof is an adaptation of a contradiction and compactness argument that so far had been only used to prove estimates in Hölder spaces. This new approach is simpler than previous ones, and avoids the use of any interpolation theorem.
In this note we provide a new proof of the $W^{2, p}$ Calderón-Zygmund regularity estimates for the Laplacian, i.e., $\Delta u=f$ and its parabolic counterpart $\partial_t u-\Delta u=f$. Our proof is an adaptation of a contradiction and compactness argument that so far had been only used to prove estimates in Hölder spaces. This new approach is simpler than previous ones, and avoids the use of any interpolation theorem.
In this note we provide a new proof of the $W^{2, p}$ Calderón-Zygmund regularity estimates for the Laplacian, i.e., $\Delta u=f$ and its parabolic counterpart $\partial_t u-\Delta u=f$. Our proof is an adaptation of a contradiction and compactness argument that so far had been only used to prove estimates in Hölder spaces. This new approach is simpler than previous ones, and avoids the use of any interpolation theorem.
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LEWENSTEIN SANPERA, Jan Bruno and ROS, Xavier. Lp estimates for the Laplacian via blow-up. Journal of Differential Equations. 2025. Vol. 441. ISSN 0022-0396. [consulted: 25 of September of 2026]. Available at: https://hdl.handle.net/2445/231527