A remark on infinity harmonic functions.
Displaying 41 – 60 of 716
A remark on the note : “Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth”
Mario Marino, Antonio Maugeri (1996)
Rendiconti del Seminario Matematico della Università di Padova
A remark on the regularity for the 3D Navier-Stokes equations in terms of the two components of the velocity.
Gala, Sadek (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A short note on theory for Stokes problem with a pressure-dependent viscosity
Václav Mácha (2016)
Czechoslovak Mathematical Journal
We study higher local integrability of a weak solution to the steady Stokes problem. We consider the case of a pressure- and shear-rate-dependent viscosity, i.e., the elliptic part of the Stokes problem is assumed to be nonlinear and it depends on and on the symmetric part of a gradient of , namely, it is represented by a stress tensor which satisfies -growth condition with . In order to get the main result, we use Calderón-Zygmund theory and the method which was presented for example in...
A singular ODE related to quasilinear elliptic equations.
Korkut, Luka, Pas̆ić, Mervan, Z̆ubrinić (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A sufficient condition for the well posedness of a Goursat problem
Carvalho e Silva, Jaime (1988)
Portugaliae mathematica
A system of nonlinear degenerate parabolic equations.
Stavros Busenberg, Mimmo Iannelli (1986)
Journal für die reine und angewandte Mathematik
A temperature control problem.
Athanasopoulos, Ioannis (1984)
International Journal of Mathematics and Mathematical Sciences
A variational treatment for general elliptic equations of the flame propagation type : regularity of the free boundary
Eduardo V. Teixeira (2008)
Annales de l'I.H.P. Analyse non linéaire
A W1,p-Estimate for Solutions to Mixed Boundary Value Problems for Second Order Elliptic Differential Equtions.
Konrad Gröger (1989)
Mathematische Annalen
Abrupt and smooth separation of free boundaries in flow problems
Hans Wilhelm Alt, Luis A. Caffarelli, Avner Friedman (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Abstract linear hyperbolic equations and asymptotic equivalence as
Arosio, Alberto (1982)
Portugaliae mathematica
Abstract Quasilinear Parabolic Equations.
Alessandra Lunardi (1984)
Mathematische Annalen
Addendum to "Hölder estimates for nonlinear degenerate parabolic systems".
Avner Friedman, Emmanuelle DiBenedetto (1985)
Journal für die reine und angewandte Mathematik
Additional note on partial regularity of weak solutions of the Navier-Stokes equations in the class
Zdeněk Skalák (2003)
Applications of Mathematics
We present a simplified proof of a theorem proved recently concerning the number of singular points of weak solutions to the Navier-Stokes equations. If a weak solution belongs to , then the set of all possible singular points of in is at most finite at every time .
Additional regularity for Lipschitz solutions of PDE.
David Preiss (1997)
Journal für die reine und angewandte Mathematik
Almost classical solutions of Hamilton-Jacobi equations.
R. Deville, J. A. Jaramillo (2008)
Revista Matemática Iberoamericana
An approximate layering method for multi-dimensional nonlinear parabolic systems of a certain type
Avron Douglis (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
An Elementary Partial Regularity Proof for Vector-Valued Obstacle Problems.
Martin Fuchs (1987/1988)
Mathematische Annalen
An example of a nonlinear second order elliptic system in three dimension
Josef Daněček, Marek Nikodým (2004)
Commentationes Mathematicae Universitatis Carolinae
We provide an explicit example of a nonlinear second order elliptic system of two equations in three dimension to compare two -regularity theories. We show that, for certain range of parameters, the theory developed in Daněček, Nonlinear Differential Equations Appl.9 (2002), gives a stronger result than the theory introduced in Koshelev, Lecture Notes in Mathematics,1614, 1995. In addition, there is a range of parameters where the first theory gives H"older continuity of solution for all , while...