Global weighted Lorentz estimates for parabolic equations with measure via strong fractional maximal functions
DOI10.2422/2036-2145.201807_002zbMath1475.35378OpenAlexW4248724468MaRDI QIDQ5003262
Publication date: 21 July 2021
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2422/2036-2145.201807_002
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Quasilinear parabolic equations (35K59) PDEs with measure (35R06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global gradient estimates for general nonlinear parabolic equations in nonsmooth domains
- Potential estimates and gradient boundedness for nonlinear parabolic systems
- Marcinkiewicz estimates for degenerate parabolic equations with measure data
- Singular parabolic equations, measures satisfying density conditions, and gradient integrability
- Gradient estimates via linear and nonlinear potentials
- Gradient potential estimates
- Approximated solutions of equations with \(L^ 1\) data. Application to the \(H\)-convergence of quasilinear parabolic equations
- Degenerate parabolic equations
- Global gradient estimates for degenerate parabolic equations in nonsmooth domains
- Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
- Gradient estimates below the duality exponent
- Weighted \(L^p\)-inequalities for multi-parameter Riesz type potentials and strong fractional maximal operators
- Gradient estimates for a class of parabolic systems
- Parabolic equations in time dependent Reifenberg domains
- Nonlinear elliptic and parabolic equations involving measure data
- A generalization of Reifenberg's theorem in \({\mathbb{R}}^3\)
- L(log L) spaces and weights for the strong maximal function
- A geometric proof of the strong maximal theorem
- Nonlinear parabolic equations with measure data
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Higher integrability for parabolic systems of \(p\)-Laplacian type
- Reverse Hölder inequalities for singular parabolic equations near the boundary
- Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations
- The Wolff gradient bound for degenerate parabolic equations
- Morrey global bounds and quasilinear Riccati type equations below the natural exponent
- Lorentz estimates for degenerate and singular evolutionary systems
- Gradient estimates via non-linear potentials
- Parabolic and Elliptic Equations with VMO Coefficients
- Boundary regularity for solutions of degenerate parabolic equations
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Nonlinear Elliptic Equations with Right Hand Side Measures
- Functions of Vanishing Mean Oscillation
- Weak minima of variational integrals.
- Global integrability of the gradients of solutions to partial differential equations
- Global Marcinkiewicz estimates for nonlinear parabolic equations with nonsmooth coefficients
- Uniqueness and maximal regularity for nonlinear elliptic systems of n--Laplace type with measure valued right hand side
- Gradient regularity for nonlinear parabolic equations
- Gradient estimates for thep(x)-Laplacean system
- Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data
This page was built for publication: Global weighted Lorentz estimates for parabolic equations with measure via strong fractional maximal functions
