Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Regularity in parabolic Dini continuous systems
-
Paolo Baroni
Veröffentlicht/Copyright:
27. Juni 2010
Abstract
We consider a weak solution to the non-linear, parabolic systems of the form
ut – div A(x, t, u, Du) = 0,
where the vector field A satisfies a Dini-type continuity condition with respect to the variables (x, t, u), and we prove a partial regularity result for such a solution. Moreover, we give an estimate of the size of the singular set of a solution in terms of a generalized parabolic Hausdorff measure associated to an appropriate modulus of continuity naturally associated to the coefficients of the system.
Received: 2009-10-13
Revised: 2010-02-21
Published Online: 2010-06-27
Published in Print: 2011-November
© de Gruyter 2011
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Almost global existence for quasilinear wave equations with inhomogeneous terms in 3D
- Heegner points and Eisenstein series
- Discrete components of some complementary series
- Even universal binary Hermitian lattices over imaginary quadratic fields
- Combinatorial classification of piecewise hereditary algebras
- Weighted energy estimates for wave equations in exterior domains
- Invariant sets and ergodic decomposition of local semi-Dirichlet forms
- Regularity in parabolic Dini continuous systems
- The reciprocity law for the twisted second moment of Dirichlet L-functions
Artikel in diesem Heft
- Almost global existence for quasilinear wave equations with inhomogeneous terms in 3D
- Heegner points and Eisenstein series
- Discrete components of some complementary series
- Even universal binary Hermitian lattices over imaginary quadratic fields
- Combinatorial classification of piecewise hereditary algebras
- Weighted energy estimates for wave equations in exterior domains
- Invariant sets and ergodic decomposition of local semi-Dirichlet forms
- Regularity in parabolic Dini continuous systems
- The reciprocity law for the twisted second moment of Dirichlet L-functions
