Linear higher order parabolic problems in locally uniform Lebesgue's spaces

DOI10.1016/j.jmaa.2016.11.085zbMath1366.35061OpenAlexW2569861371MaRDI QIDQ504827

Jan W. Cholewa, Aníbal Rodgriguez-Bernal

Publication date: 17 January 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.11.085

zbMATH Keywords

initial value problems for higher order parabolic equationslinear higher order equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) Higher-order parabolic equations (35K25)

Related Items (7)

Sharp estimates for homogeneous semigroups in homogeneous spaces. Applications to PDEs and fractional diffusion in ℝN ⋮ On linear higher-order parabolic equations in Morrey spaces ⋮ Exponential attractor for the Cahn-Hilliard-Oono equation in \(\mathbb{R}^N\) ⋮ Self-similarity in homogeneous stationary and evolution problems ⋮ Pullback attractor for a weakly damped wave equation with sup-cubic nonlinearity ⋮ Unnamed Item ⋮ On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation of analytic semigroups in scales of Banach spaces and applications to linear parabolic equations with low regularity data
• \(L^\infty\)-estimates for parabolic systems with VMO-coefficients
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Bounded \(H_ \infty\)-calculus for elliptic operators
• \(H_\infty \)-calculus for elliptic operators with non-smooth coefficients
• Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
• A nonlinear heat equation with singular initial data
• Smoothing and perturbation for some fourth order linear parabolic equations in \(\mathbb R^N\)
• LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES
• Gaussian Estimates and Holomorphy of Semigroups on L ^p Spaces
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: Linear higher order parabolic problems in locally uniform Lebesgue's spaces