Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants

DOI10.1142/S0219530515500190zbMath1366.46022arXiv1309.7576MaRDI QIDQ2816966

Jie Xiao, Ren Jin Jiang, Da Chun Yang

Publication date: 26 August 2016

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

Full work available at URL: https://arxiv.org/abs/1309.7576

zbMATH Keywords

heat equationtraceharmonic functionsNavier-Stokes systemscaling invariantsquare Campanato space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Heat equation (35K05) Navier-Stokes equations (35Q30) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Harmonic analysis and PDEs (42B37)

Related Items (15)

Well-posedness for chemotaxis–fluid models in arbitrary dimensions* ⋮ Dirichlet problem for Schrödinger equation with the boundary value in the BMO space ⋮ Extension of Campanato-Sobolev type spaces associated with Schrödinger operators ⋮ BMO type space associated with Neumann operator and application to a class of parabolic equations ⋮ Well/ill-posedness for the dissipative Navier-Stokes system in generalized Carleson measure spaces ⋮ On the caloric functions with BMO traces and their limiting behaviors ⋮ On the Dirichlet problem for the Schrödinger equation in the upper half-space ⋮ Characterization of temperatures associated to Schrödinger operators with initial data in BMO spaces ⋮ N-S systems via \(\mathcal{Q}\)-\(\mathcal{Q}^{-1}\) spaces ⋮ Local Hardy spaces associated with inhomogeneous higher order elliptic operators ⋮ Gradient estimates via rearrangements for solutions of some Schrödinger equations ⋮ On characterization of Poisson integrals of Schrödinger operators with Morrey traces ⋮ Dual spaces of anisotropic mixed-norm Hardy spaces ⋮ Characterization of temperatures associated to Schrödinger operators with initial data in Morrey spaces ⋮ The CMO-Dirichlet problem for the Schrödinger equation in the upper half-space and characterizations of CMO

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