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The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface.

• Authors : Boutet de Monvel, Louis; Colin de Verdière, Yves;

Subjects: pseudo-differential operators; Dirichlet-to-Neumann map; Poisson operator

• Source: Comptes-Rendus-de-l'Academie-des-Sciences ; https://hal.science/hal-00734597 ; Comptes-Rendus-de-l'Academie-des-Sciences, In press

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Optimal boundary regularity and a Hopf-type lemma for Dirichlet problems involving the logarithmic Laplacian

• Authors : Hernández-Santamaría, Víctor; Ríos, Luis Fernando López; Saldaña, Alberto

Subjects: Mathematics - Analysis of PDEs; 35S15; 35B65

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High energy solutions of general Kirchhoff type equations without the Ambrosetti-Rabinowitz type condition

• Authors : Zhang Jian; Liu Huize; Zuo Jiabin

Subjects: kirchhoff type equation; high energy solution; pohozǎev manifold

• Source: Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 18-34 (2023)

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On gravito-inertial surface waves

• Authors : Colin de Verdìère, Yves; Vidal, Jérémie;

Subjects: Spectral theory; microlocal analysis; gravito-inertial waves

• Source: https://hal.science/hal-04461197 ; 2024.

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Evolution Equations with Sectorial Operator on Fractional Power Scales.

• Authors : Czaja, Radosław¹ (AUTHOR) ; Dłotko, Tomasz¹ (AUTHOR)

• Source: Applied Mathematics & Optimization. Oct2023, Vol. 88 Issue 2, p1-41. 41p.

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Nonlocal Neumann boundary conditions ; Condizioni al bordo di Neumann non locali

• Authors : Proietti Lippi, Edoardo

Subjects: fractional p-Laplacian; Neumann boundary conditions; regularity

• Source: Bruno Pini Mathematical Analysis Seminar; V. 14 N. 1 (2023): Nonlocal and Nonlinear PDEs at the University of Bologna; 58-76 ; Bruno Pini Mathematical Analysis Seminar; Vol. 14 No. 1 (2023): Nonlocal

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Asymptotically linear magnetic fractional problems

• Authors : Bartolo, Rossella; d'Avenia, Pietro; Bisci, Giovanni Molica

Subjects: Mathematics - Analysis of PDEs; 49J35; 35A15

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Differentiability of the nonlocal-to-local transition in fractional Poisson problems

• Authors : Saldaña, Alberto; Jarohs, Sven; Weth, Tobias

Subjects: Mathematics - Analysis of PDEs; 35S15; 35B40

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Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems

• Authors : Kupferman, Raz; Leder, Roee

Subjects: Mathematics - Analysis of PDEs; Mathematics - Differential Geometry; 31C12

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The fractional Logarithmic Schr\'odinger operator: Properties and functional spaces

• Authors : Feulefack, Pierre Aime

Subjects: Mathematics - Analysis of PDEs; 45P05; 45C05

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