Results 111 to 120 of about 3,848 (132)

ON THE FUNCTIONAL DIMENSION OF THE SOLUTION SPACE OF HYPOELLIPTIC EQUATIONS

Mathematics of the USSR-Sbornik, 1982
Translation 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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Smoothness of solutions of almost hypoelliptic equations

Journal of Contemporary Mathematical Analysis, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hypoelliptic convolution equations in the space $\mathscr{H}'{M_p}$

Publicationes Mathematicae Debrecen, 2022
The authors treat the space \({\mathcal H}\{M_ p\}\) of smooth functions \(\phi\) (x) on R such that for every \(p\in {\mathbb{N}}\) \(\gamma_ p(\phi):=\sup \{| \phi^{(j)}(x)| \cdot \exp (M_ p(x));x\in R,0\leq j\leq n\}
Pilipović, S., Takači, A.
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Hypoelliptic second order differential equations

Acta Mathematica, 1967
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The regularity of solutions of functional equations and hypoellipticity

1984
In this paper we investigate the regularity of solutions of functional equations of the form $$ \sum\limits_{{j = 1}}^k {aj(x,t)f(hj(x,t))} = F(x,f(x)),...,f({l_s}(x))) + b(x,t) $$ (1.1) where $$ x \in {\mathbb{R}^n},\quad t \in \omega {\mathbb{R}^r},\quad n > 1,\;r \geqslant 1, $$ $$ {h_j}:{\mathbb{R}^n} \times \omega \to \mathbb ...
A. Tsutsumi, Sh. Haruki
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A Reflection Principle and an Orthogonal Decomposition Concernig Hypoelliptic Equations

Mathematische Nachrichten, 2002
This paper deals with a jump relation for a boundary integral representation of solutions of hyperelliptic equations which is described by a reflection principle. An orthogonal decomposition of \(L_2\) can be proved by the jump relation. In the orthogonal complement the inhomogeneous adjoint equation has a solution with homogeneous boundary values.
exaly   +3 more sources

An Invariant Harnack Inequality for a Class of Hypoelliptic Ultraparabolic Equations

Mediterranean Journal of Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
KOGOJ, ALESSIA ELISABETTA, Lanconelli, Ermano   +1 more
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Gradient Estimates for Some Semi-Linear Hypoelliptic Equations

Acta Applicandae Mathematicae, 2012
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Qian, Bin, Chen, Li
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Stochastic Differential Equations and Hypoelliptic Operators

2004
The first half of the twentieth century saw some remarkable developments in analytic probability theory. Wiener constructed a rigorous mathematical model of Brownian motion. Kolmogorov discovered that the transition probabilities of a diffusion process define a fundamental solution to an associated heat equation.
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The method of stochastic characteristics for linear second-order hypoelliptic equations

Probability Surveys, 2023
Juraj Foldes, David P Herzog
exaly