Schauder estimates in generalized Hölder spaces

Bae J, Kaßmann M (2015)
arXiv:1505.05498.

Preprint | Englisch
 
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Autor*in
Bae, Jongchun; Kaßmann, MoritzUniBi
Abstract / Bemerkung
We prove Schauder estimates in generalized H\"older spaces $C^\psi(\mathbb{R}^d)$. These spaces are characterized by a general modulus of continuity $\psi$, which cannot be represented by a real number. We consider linear operators $\mathcal{L}$ between such spaces. The operators $\mathcal{L}$ under consideration are integrodifferential operators with a functional order of differentiability $\varphi$ which, again, is not represented by a real number. Assuming that $\mathcal{L}$ has $\psi$-continuous coefficients, we prove that solutions $u \in C^{\varphi\psi}(\mathbb{R}^d)$ to linear equations $\mathcal{L} u = f \in C^\psi(\mathbb{R}^d)$ satisfy a priori estimates in $C^{\varphi\psi}(\mathbb{R}^d)$.
Erscheinungsjahr
2015
Zeitschriftentitel
arXiv:1505.05498
Page URI
https://pub.uni-bielefeld.de/record/2956121

Zitieren

Bae J, Kaßmann M. Schauder estimates in generalized Hölder spaces. arXiv:1505.05498. 2015.
Bae, J., & Kaßmann, M. (2015). Schauder estimates in generalized Hölder spaces. arXiv:1505.05498
Bae, J., and Kaßmann, M. (2015). Schauder estimates in generalized Hölder spaces. arXiv:1505.05498.
Bae, J., & Kaßmann, M., 2015. Schauder estimates in generalized Hölder spaces. arXiv:1505.05498.
J. Bae and M. Kaßmann, “Schauder estimates in generalized Hölder spaces”, arXiv:1505.05498, 2015.
Bae, J., Kaßmann, M.: Schauder estimates in generalized Hölder spaces. arXiv:1505.05498. (2015).
Bae, Jongchun, and Kaßmann, Moritz. “Schauder estimates in generalized Hölder spaces”. arXiv:1505.05498 (2015).

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