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Relevant bibliographies by topics / Schauder estimate

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Journal articles

Academic literature on the topic 'Schauder estimate'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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Journal articles on the topic "Schauder estimate"

1

Du, Kai, and Jiakun Liu. "A Schauder estimate for stochastic PDEs." Comptes Rendus Mathematique 354, no. 4 (2016): 371–75. http://dx.doi.org/10.1016/j.crma.2016.01.010.

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2

Imbert, Cyril, and Luis Silvestre. "The Schauder estimate for kinetic integral equations." Analysis & PDE 14, no. 1 (2021): 171–204. http://dx.doi.org/10.2140/apde.2021.14.171.

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3

Nardi, Giacomo. "Schauder estimate for solutions of Poisson’s equation with Neumann boundary condition." L’Enseignement Mathématique 60, no. 3 (2014): 421–35. http://dx.doi.org/10.4171/lem/60-3/4-9.

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4

Liu, Xiangao, Zixuan Liu, and Kui Wang. "Interior estimates of harmonic heat flow." International Journal of Mathematics 32, no. 07 (2021): 2150039. http://dx.doi.org/10.1142/s0129167x21500397.

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Motivated by Giaquinta and Hildebrandt’s regularity result for harmonic mappings [M. Giaquinta and S. Hildebrandt, A priori estimates for harmonic mappings, J. Reine Angew. Math. 1982(336) (1982) 124–164, Theorems 3 and 4], we show a [Formula: see text]-regularity result of the harmonic flow between two Riemannian manifolds when the image is in a regular geodesic ball. The proof is based on De Giorgi–Moser’s iteration and Schauder estimate.

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5

Luo, Yousong, and Neil S. Trudinger. "Linear second order elliptic equations with Venttsel boundary conditions." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 118, no. 3-4 (1991): 193–207. http://dx.doi.org/10.1017/s0308210500029048.

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SynopsisWe prove a Schauder estimate for solutions of linear second order elliptic equations with linear Venttsel boundary conditions, and establish an existence result for classical solutions for such boundary value problems.

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6

Liang, Xiao, Linshan Wang, and Ruili Wang. "Random Attractor of Reaction-Diffusion Hopfield Neural Networks Driven by Wiener Processes." Mathematical Problems in Engineering 2018 (2018): 1–11. http://dx.doi.org/10.1155/2018/2538658.

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This paper studies the global existence and uniqueness of the mild solution for reaction-diffusion Hopfield neural networks (RDHNNs) driven by Wiener processes by applying a Schauder fixed point theorem and a priori estimate; then the random attractor for this system is also studied by constructing proper random dynamical system.

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7

Imbert, Cyril, and Clément Mouhot. "The Schauder estimate in kinetic theory with application to a toy nonlinear model." Annales Henri Lebesgue 4 (May 27, 2021): 369–405. http://dx.doi.org/10.5802/ahl.75.

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8

Juodagalvytė, Rita, Grigory Panasenko, and Konstantinas Pileckas. "Steady-State Navier–Stokes Equations in Thin Tube Structure with the Bernoulli Pressure Inflow Boundary Conditions: Asymptotic Analysis." Mathematics 9, no. 19 (2021): 2433. http://dx.doi.org/10.3390/math9192433.

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Steady-state Navier–Stokes equations in a thin tube structure with the Bernoulli pressure inflow–outflow boundary conditions and no-slip boundary conditions at the lateral boundary are considered. Applying the Leray–Schauder fixed point theorem, we prove the existence and uniqueness of a weak solution. An asymptotic approximation of a weak solution is constructed and justified by an error estimate.

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9

FELLI, VERONICA, and MATTHIAS SCHNEIDER. "COMPACTNESS AND EXISTENCE RESULTS FOR DEGENERATE CRITICAL ELLIPTIC EQUATIONS." Communications in Contemporary Mathematics 07, no. 01 (2005): 37–73. http://dx.doi.org/10.1142/s0219199705001623.

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This paper is devoted to the study of degenerate critical elliptic equations of Caffarelli–Kohn–Nirenberg type. By means of blow-up analysis techniques, we prove an a priori estimate in a weighted space of continuous functions. From this compactness result, the existence of a solution to our problem is proved by exploiting the homotopy invariance of the Leray–Schauder degree.

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10

Chen, Wenxiong, Congming Li, and Yan Li. "A direct blowing-up and rescaling argument on nonlocal elliptic equations." International Journal of Mathematics 27, no. 08 (2016): 1650064. http://dx.doi.org/10.1142/s0129167x16500646.

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In this paper, we develop a direct blowing-up and rescaling argument for nonlinear equations involving nonlocal elliptic operators including the fractional Laplacian. Instead of using the conventional extension method introduced by Caffarelli and Silvestre to localize the problem, we work directly on the nonlocal operator. Using the defining integral, by an elementary approach, we carry on a blowing-up and rescaling argument directly on the nonlocal equations and thus obtain a priori estimates on the positive solutions. Based on this estimate and the Leray–Schauder degree theory, we establish the existence of positive solutions. We believe that the ideas introduced here can be applied to problems involving more general nonlocal operators.

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