Results 11 to 20 of about 168 (145)

The Growth of Hypoelliptic Polynomials and Gevrey Classes [PDF]

Proceedings of the American Mathematical Society, 1973
For given hypoelliptic polynomials P P and
Newberger, E., Zielezny, Z.
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Microhyperbolic Operators in Gevrey Classes

Publications of the Research Institute for Mathematical Sciences, 1989
This paper considers microhyperbolic operators in Gevrey classes and proves the microlocal well-posedness of the microlocal Cauchy problem. It also establishes theorems on the propagation of singularities for microhyperbolic operators. The methods show one how to obtain microlocal results (e.g.
Kajitani, Kunihiko, Wakabayashi, Seiichiro   +1 more
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Gevrey class regularity of the magnetohydrodynamics equations [PDF]

The ANZIAM Journal, 2002
AbstractIn this article, we use the method of Foias and Temam to show that the strong solutions of the time-dependent magnetohydrodynamics equations in a periodic domain are analytic in time with values in a Gevrey class of functions. As immediate corollaries we find that the solutions are analytic in Hr-norms and that the solutions become smooth ...
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Gevrey class regularity for parabolic equations

Differential and Integral Equations, 2001
We consider the regularity of parabolic equations. We obtain that the solution belongs to Gevrey class 2 up to the boundary if functions in the equation belong to Gevrey class 2 in all dependent variables.
Lee, Pei-Ling, Guo, Yung-Jen Lin
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Propagation of Gevrey Regularity for a Class of Hypoelliptic Equations [PDF]

Transactions of the American Mathematical Society, 1996
We prove results on the propagation of Gevrey and analytic wave front sets for a class of C ∞
Bove, Antonio, Tartakoff, David S.
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Paradifferential calculus in Gevrey classes

Kyoto Journal of Mathematics, 2001
The paper presents a paradifferential calculus adapted to the study of nonlinear partial differential equations in Gevrey classes. Namely, in the second section of the paper the authors consider Gevrey-Sobolev spaces \(H^s_{\lambda,\sigma}\) defined by the norms \[ \biggl \|\exp \bigl(\lambda |D|^{1/ \sigma}\bigr)u \biggr\|_{H^s(\mathbb{R}^n)}.
Hua, Chen, Rodino, Luigi
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A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, Volume 299, Issue 10, Page 3015-3035, October 2026.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

An Algebraic Study of Parametric Stokes Phenomena

Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley   +1 more source

Partial hyperbolicity and partial gevrey classes

Journal of Differential Equations, 1981
Let P(D) be a linear partial differential operator of order m > 0 with constant coefficients in R” + ‘. Let d = (d,, d, ,..., d,) E R”+ i, 0 0 be an integer.
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