Nittka's invariance criterion and Hilbert space valued parabolic equations in \(L_p\)
From MaRDI portal
Publication:6139364
DOI10.1007/s00013-023-01944-0zbMath1529.35097arXiv2310.13885MaRDI QIDQ6139364
A. F. M. ter Elst, Wolfgang Arendt, Manfred Sauter
Publication date: 18 December 2023
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2310.13885
One-parameter semigroups and linear evolution equations (47D06) Geometry and structure of normed linear spaces (46B20) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Projections onto convex sets and \(L ^{p }\)-quasi-contractivity of semigroups
- Limits on \(L^ p\) regularity of self-adjoint elliptic operators
- Uniformly elliptic operators with measurable coefficients
- On \(p\)-elliptic divergence form operators and holomorphic semigroups
- Convexity of power functions and bilinear embedding for divergence-form operators with complex coefficients
- Criterion for the \(L^p\)-dissipativity of second order differential operators with complex coefficients
- Sectorial forms and degenerate differential operators
- Mapping theorems for Sobolev spaces of vector-valued functions
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- vector-valued singular integrals and maximal functions on spaces of homogeneous type
- L∞ -Contractivity of Semigroups Generated by Sectorial Forms
- Complex convexity in Lebesgue-Bochner Function Spaces
- On the Lp-theory of C0-semigroups associated with second-order elliptic operators with complex singular coefficients
- Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces
This page was built for publication: Nittka's invariance criterion and Hilbert space valued parabolic equations in \(L_p\)