Results 101 to 110 of about 3,789 (142)
A new class of pseudo-differential operators. [PDF]
Nagel A, Stein EM.
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Classes of spatially inhomogeneous pseudodifferential operators. [PDF]
Beals R, Fefferman C.
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Direct solution of general one-dimensional linear parabolic equation via an abstract plancherel formula. [PDF]
Hersh R.
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Some examples of hypoelliptic partial differential equations
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HYPOELLIPTICITY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
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Gradient Estimates for Some Semi-Linear Hypoelliptic Equations
Acta Applicandae Mathematicae, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qian, Bin, Chen, Li
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Hypoelliptic convolution equations in the space $\mathscr{H}'{M_p}$
Publicationes Mathematicae Debrecen, 2022The 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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Smoothness of solutions of almost hypoelliptic equations
Journal of Contemporary Mathematical Analysis, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Margaryan, V. N., Ghazaryan, H. G.
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Uniform Schauder estimates for regularized hypoelliptic equations
Annali di Matematica Pura ed Applicata, 2008The author considers operators of the form \[ L_\lambda= \sum^m_{j=1} X^2_j+ \Delta\qquad\text{in }\mathbb{R}^n, \] where \(\lambda\) is a small parameter and the smooth vector fields \(X_j\), \(j= 1,\dots, m\), \(m< n\), satisfy the Hörmander condition rank Lie \((X_1,\dots, X_m)= n\).
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