Results 101 to 110 of about 3,848 (132)
Some examples of hypoelliptic partial differential equations
Mathematische Annalen, 1976 openaire +2 more sources
HYPOELLIPTICITY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
HYPOELLIPTICITY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONSopenaire
Regularity at the boundary for solutions of hypoelliptic equations
Regularity at the boundary for solutions of hypoelliptic equationsopenaire
Logarithmic Decay for Linear Damped Hypoelliptic Wave and Schrödinger Equations [PDF]
SIAM Journal on Control and Optimization, 2021 We consider damped wave (resp. Schr{ö}dinger and plate) equations driven by a hypoelliptic "sum of squares" operator L on a compact manifold and a damping function b(x). We assume the Chow-Rashevski-H{ö}rmander condition at rank k (at most k Lie brackets needed to span the tangent space) together with analyticity of M and the coefficients of L.
Matthieu Léautaud
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Hölder Continuity for a Family of Nonlocal Hypoelliptic Kinetic Equations [PDF]
SIAM Journal on Mathematical Analysis, 2019 In this work, Holder 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. Difficulties arise because our equations
Logan F Stokols
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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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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.
Christoph Reisinger, Endre Suli
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