1,720,975 research outputs found
Solvability in Classical Sense of Quasi-Linear Non-Cooperative Elliptic Systems and Application
Get PDF[Popivanov P.; Popivanov Petar; Попиванов Петър]; [Boyadzhiev G.; Бояджиев Г.]; [Markov Y.; Марков Й.]2010 Mathematics Subject Classification: 35J47, 35J57
Gevrey hypoellipticity and solvability on the multidimensional torus of some classes of linear partial differential operators
No full textIn this paper we consider the problem of global analytic and Gevrey hypoellipticity and solvability for a class of partial differential operators on a torus. We prove that global analytic and Gevrey hypoellipticity and solvability on the torus is equivalent to certain Diophantine aprroximation properties
Existence of Classical Solutions of Quasi-Linear Non-Cooperative Elliptic Systems
Get PDF[Popivanov P.; Popivanov Petar; Попиванов Петър]; [Boyadzhiev G.; Бояджиев Г.]; [Markov Y.; Марков Й.]2010 Mathematics Subject Classification: 35J47, 35J57
Global Analytic and Gevrey solvability of sublaplacians under Diophantine conditions
No full textIn this paper we consider the problem of global analytic and Gevrey solvability for a class of partial differential operators on a torus in the form of squares of vector fields. We prove that global analytic and Gevrey solvability on the torus is equivalent to certain Diophantine approximation properties
On the global solvability in Gevrey classes on the n-dimensional torus
No full textAbstractLet P be a linear partial differential operator with coefficients in the Gevrey class Gs(Tn), where Tn is the n-dimensional torus and s⩾1. We prove a necessary condition for the s-global solvability of P on Tn. We also apply this result to give a complete characterization for the s-global solvability for a class of formally self-adjoint operators with nonconstant coefficients
On some boundary-value problems for second order PDEs arising in Finance
No full textThis paper studies the Dirichlet problem for some second order PDEs with non-negative characteristic form. The classical solution method is presented in a general framework. The results are applied to the pricing problems for a financial option of barrier type
Degenerating problem with directional derivative for quasilinear elliptic equations of second order
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