Elliptic Regularity and Some Preliminary S p,∞ -Estimates
Boundary regularity problems for some elliptic-parabolic equations
... refined estimates for the fundamental solution is in fact one of the major obstacles to obtain Wiener-type tests for the class of equations under ...the regularity of boundary points related to the the ...
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L p regularity for elliptic operators with unbounded coefficients
... In the next section we give some preliminary results. The following three sections deal with gen- eration in L p , C 0 , and L 1 , respectively. In Section 6 we show additional qualitative properties ...
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Boundary regularity estimates for nonlocal elliptic equations in C1 and C1, domains
... First, in C 1,α domains we show that all solutions u are C s up to the boundary and that u/d s ∈ C α (Ω), where d is the distance to ∂Ω. In C 1 domains, solutions are in general not comparable to d s ...
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Regularity estimates for some free boundary problems of obstacle-type
... making some remarks about monotonicity for- mulas and their usefulness for regularity ...point. Some known examples of monotone quantities of interest in elliptic free boundary theory are the ...
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Fourier series and elliptic regularity
... 5.11. Lemma. If T is a diffeomorphism of T and F lies in H s then so does T ∗ F . The implication of these two results is that the notion of Sobolev spaces is really a notion defined locally in Euclidean space, ...
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Lags in transmission of inflation some preliminary estimates
... T h e y found that the adjustment o f output price to changes in input price was almost complete after four quarters and that the weights peaked in the second or third quarter... Univ[r] ...
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Boundary regularity result for quasilinear elliptic systems
... In this article, we shown optimal boundary regularity of (1.1) under controllable growth condition. As the argument for combining the boundary and interior estimates is relatively standard, we omit it and ...
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Boundary regularity for elliptic systems with supquadratic growth
... full regularity of ...boundary regularity for weak solutions of systems (.). There are some previous partial regularity results for quasilinear ...studied regularity up to the ...
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Gradient regularity for elliptic equations in the Heisenberg group
... 3.2. Difference quotients results Before going on let us clarify a few conventions we shall adopt for the rest of the paper when dealing with difference quotients as defined in Lemma 2.2; such conventions should be kept ...
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Global regularity for solutions of a class of quasilinear elliptic equations
... Abstract We derive interior and global Hölder estimates for solutions of a class of quasilinear elliptic equations. First, the interior Hölder continuity is obtained by the iteration of an oscillation ...
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Regularity of Fourth and Second Order Nonlinear Elliptic Equations
... harmonic estimates to construct a quadratic polynomial that would be separated from u by a distance of r 2+α on the ball of radius ...2,p estimates for concave equations [3] to prove the ...
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Regularity theory for solutions to second order elliptic operators with complex coefficients and the L^p Dirichlet problem
... the p-ellipticity condition and prove interior regularity of solutions to complex valued divergence form equations under this ...contains preliminary material relevant to defining solvability of the ...
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Indian GDP, 1600 -1870: Some Preliminary Estimates Comparison with Britain
... Furthermore, there is a substantial literature which attempts to chart trends in Indian living standards over time, starting from 1595. The reign of Akbar is usually seen as the peak of economic well being, and is well ...
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Boundary regularity for elliptic systems under a natural growth condition
... the estimates can be extended up to the boundary and that in fact H n−1 -almost every point in is a regular point for Du independently of the value of p as long as α > 1 2 and the Hölder continuity of u is ...
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Boundary regularity for elliptic systems under a natural growth condition
... ≤ p + 2 is ...almost-everywhere regularity result has to be improved to a bound for the Hausdorff dimension less than n − 1 because this yields immediately that almost every boundary point is ...), p ...
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Regularity of solutions to elliptic equations on Herz spaces with variable exponents
... spaces; Elliptic equations; VMO 1 Introduction In this note we apply some recent estimates of singular integral operators and commuta- tors to the study of regularity of solutions to second ...
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Optimized Regularity Estimates of Conditional Distribution of the Sample Mean
... We hope that the approach used in [6] and in this paper may prove useful in other areas of mathematical physics and applications of the probability theory. A detailed discussion of the interactive Anderson models, ...
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Some Large-Scale Regularity Results for Linear Elliptic Equations with Random Coefficients and on the Well-Posedness of Singular Quasilinear SPDEs
... Before continuing on to the second part of this thesis, we mention a future project that may be within reach given the tools developed in Chapters 1 and 2. Recently there has been much interest in homogenization when the ...
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Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
... H¨older estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be ...nondivergence elliptic equations in domains satisfying ...
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Existence and regularity of solutions to a quasilinear elliptic problem involving variable sources
... and regularity results for the homogeneous Dirichlet boundary value problem to the equation – div(|∇u| p–2 ∇u) = u f(x) α (x) with f ∈ L m ( ) (m ≥ 1) and α (x) > ...a p-Laplace operator and the ...
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