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A variational principle for hypoelliptic equations with constant coefficients

, 2020
A variational method for solving hypoelliptic equations with constant coefficients of the following type: \[ \sum_{| \alpha | \leq m}a_{\alpha} D^{\alpha} u(x)=g(x),\quad x\in \Omega \subset R^ n;\quad \frac{\partial^ ju}{\partial n^ j}=0,\quad j=0,1,...,K,\quad x\in \partial \Omega. \] (\(\Omega\) is a bounded domain) is presented.
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Stochastic population growth in spatially heterogeneous environments. [PDF]

J Math Biol, 2013
Evans SN, Ralph PL, Schreiber SJ, Sen A.
europepmc   +1 more source

The [unk]-Neumann Problem on (Weakly) Pseudo-Convex Two-Dimensional Manifolds. [PDF]

Proc Natl Acad Sci U S A, 1972
Kohn JJ.
europepmc   +1 more source

A new class of pseudo-differential operators. [PDF]

Proc Natl Acad Sci U S A, 1978
Nagel A, Stein EM.
europepmc   +1 more source

Classes of spatially inhomogeneous pseudodifferential operators. [PDF]

Proc Natl Acad Sci U S A, 1973
Beals R, Fefferman C.
europepmc   +1 more source

Direct solution of general one-dimensional linear parabolic equation via an abstract plancherel formula. [PDF]

Proc Natl Acad Sci U S A, 1969
Hersh R.
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Some examples of hypoelliptic partial differential equations

Mathematische Annalen, 1976
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VARIATIONAL-PRINCIPLES FOR HYPOELLIPTIC EQUATIONS

, 2020
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HYPOELLIPTICITY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

HYPOELLIPTICITY OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
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On Solvability of Regular Hypoelliptic Equations in ℝn

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018
In 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. Karapetyan, H. A. Petrosyan
semanticscholar   +3 more sources