Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations
Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations
Hölder continuity of weak solutions is studied for a nondiagonal parabolic system of singular quasilinear differential equations with matrix of coefficients satisfying special structure conditions. A technique based on estimating linear combinations of the unknowns is employed.
Hölder continuous solutions to Monge–Ampère equations
Let be a compact Kähler manifold. We obtain uniform Hölder regularity for solutions to the complex Monge-Ampère equation on with right hand side, . The same regularity is furthermore proved on the ample locus in any big cohomology class. We also study the range of the complex Monge-Ampère operator acting on -plurisubharmonic Hölder continuous functions. We show that this set is convex, by sharpening Kołodziej’s result that measures with -density belong to and proving that has the...
Hölder estimates and hypoellipticity
The aim of this paper is to show how, in order to prove regularity theorems, Hölder estimates, i.e. estimates involving products of powers of different semi-norms, can be used as well as standard estimates, and may in some instances be casier to prove.
Hölder estimates for nonlinear degenerate parabolic sytems.
Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two
Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension is less than or equal to .
Hölder regularity for solutions to complex Monge-Ampère equations
We consider the Dirichlet problem for the complex Monge-Ampère equation in a bounded strongly hyperconvex Lipschitz domain in ℂⁿ. We first give a sharp estimate on the modulus of continuity of the solution when the boundary data is continuous and the right hand side has a continuous density. Then we consider the case when the boundary value function is and the right hand side has a density in for some p > 1, and prove the Hölder continuity of the solution.
Hölder regularity in non autonomous degenerate abstract parabolic equations
Hölder regularity of solutions to second-order elliptic equations in nonsmooth domains.
Hölder regularity theorem for a class of linear nonuniformly elliptic operators with measurable coefficients
Hölder solutions for the amorphous silicon system and related problems.
Hölderabschätzungen für Ableitungen von Lösungen der Gleichung ...= f bei streng pseudokonvem Rand.
Hölder-continuity of solutions for some Schrödinger equations
Hölder-continuous solution for a nonlinear elasticity system.
Holes and obstacles
Holomorphic Approximation and Hyperfunction Theory on a C1 Totally Real Submanifold of a Complex Manifold.
Holomorphic functions and subelliptic heat kernels over Lie groups
Holomorphic perturbation of a system of micro-differential equations
Holomorphic solution for classes of forced Korteweg-de Vries equations of fractional order
Holomorphic subordinated semigroups
If is a strongly continuous and contractive semigroup on a complex Banach space , then , , generates a holomorphic semigroup on . This was proved by K. Yosida in [7]. Using similar techniques, we present a class of Bernstein functions such that for all , the operator generates a holomorphic semigroup.