Results 121 to 130 of about 1,209,225 (153)
Regularity at the boundary for solutions of hypoelliptic equations
Osaka Journal of Mathematics, 1966 openaire +4 more sources
Regularity at the boundary for solutions of hypoelliptic equations
Regularity at the boundary for solutions of hypoelliptic equationsopenaire +1 more source
HYPOELLIPTICITY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
HYPOELLIPTICITY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONSopenaire +1 more source
Hölder Continuity for a Family of Nonlocal Hypoelliptic Kinetic Equations [PDF]
SIAM Journal on Mathematical Analysis, 2019 In this work, Hölder continuity is obtained for solutions to the nonlocal kinetic Fokker--Planck equation and to a family of related equations with general integro-differential operators. These equations can be seen as a generalization of the Fokker--Planck equation, or as a linearization of non-cutoff Boltzmann.
Logan Stokols
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Logarithmic Decay for Linear Damped Hypoelliptic Wave and Schrödinger Equations [PDF]
SIAM Journal on Control and Optimization, 2021 We consider linear damped wave (resp., Schrödinger and plate) equations driven by a hypoelliptic “sum of squares” operator $\mathscr{L}$ on a compact manifold $\mathcal{M}$ and a damping function $b(x)$. We assume the Chow--Rashevski--Hörmander condition at rank $k$ (at most $k$ Lie brackets are needed to span the tangent space) together with ...
Matthieu Léautaud, Camille Laurent
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Smoothness of Solutions of Almost Hypoelliptic Equations
Journal of Contemporary Mathematical Analysis, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V N Margaryan, H G Ghazaryan
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On Solvability of Regular Hypoelliptic Equations in ℝn
Journal of Contemporary Mathematical Analysis, 2018In this paper the unique solvability of regular hypoelliptic equations in multianisotropic weighted functional spaces is proved by means of special integral representation of functions through a regular operator. The existence of the solutions is proved by constructing approximate solutions using multianisotropic integral operators.
G A Karapetyan
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ON THE FUNCTIONAL DIMENSION OF THE SOLUTION SPACE OF HYPOELLIPTIC EQUATIONS
Mathematics of the USSR-Sbornik, 1982Translation from Mat. Sb., Nov. Ser. 115(157), No.4, 614-631 (Russian) (1981; Zbl 0489.35031).
Margaryan, V. N., Kazaryan, G. G.
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A Partial Fourier Transform Method for a Class of Hypoelliptic Kolmogorov Equations [PDF]
SIAM Journal on Numerical Analysis, 2017 We consider hypoelliptic Kolmogorov equations in n+1 spatial dimensions with $n\geq 1$, where the differential operator in the first $n$ spatial variables featuring in the equation is second-order elliptic, and with respect to the (n+1)st spatial variable the equation contains a pure transport term only and is therefore first-order hyperbolic.
Endre Süli, Christoph Reisinger
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Hypoellipticity of Nonlinear Partial Differential Equations
Journal of Partial Differential Equations, 1994In this paper, we study the hypoellipticity problems for fully nonlinear panial differential equations of order m. For a solution u ∈ C^p_{loc}(Ω), if the linearized operator for the nonlinear equation on u satisfies some subelliptic conditions, we can deduce u ∈ C^∞(Ω) by using the paradifferential operator ...
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