Exponentially convergent parallel discretization methods for the first order evolution equations.
Exponentially slow traveling waves on a finite interval for Burger's type equation.
Exponential-type Nagumo norms and summability of formal solutions of singular partial differential equations
In this paper, we study a class of first order nonlinear degenerate partial differential equations with singularity at . Using exponential-type Nagumo norm approach, the Gevrey asymptotic analysis is extended to case of holomorphic parameters in a natural way. A sharp condition is then established to deduce the -summability of the formal solutions. Furthermore, analytical solutions in conical domains are found for each type of these nonlinear singular PDEs.
Exponentiation de la dérivation, et intégration des séries en variables non commutatives
Exposant critique de Sobolev et régularité des solutions d'équations elliptiques
Extendability of C. R. functions : a microlocal version of Bochner's tube theorem
Extended dynamical systems.
Extended limiting absorption method and analicity of the S-matrix.
Extended soliton solutions in an effective action for Yang-Mills theory.
Extended thermodynamics---a theory of symmetric hyperbolic field equations
Extended thermodynamics is based on a set of equations of balance which are supplemented by local and instantaneous constitutive equations so that the field equations are quasi-linear differential equations of first order. If the constitutive functions are subject to the requirements of the entropy principle, one may write them in symmetric hyperbolic form by a suitable choice of fields. The kinetic theory of gases, or the moment theories based on the Boltzmann equation, provide an explicit example...
Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's.
Extending Minimal Varieties.
Extension and lacunas of solutions of linear partial differential equations
Let be compact, convex sets in with and let be a linear, constant coefficient PDO. It is characterized in various ways when each zero solution of in the space of all -functions on extends to a zero solution in resp. in . The most relevant characterizations are in terms of Phragmén-Lindelöf conditions on the zero variety of in and in terms of fundamental solutions for with lacunas.
Extension de formes fermées et solutions de l’équation
Extension d'un théorème de l. Gårding à certaines fonctions hyperboliques
Extension of a regularity result concerning the dam problem
One proves, in the case of piecewise smooth coefficients, that the time derivative of the solution of the so called dam problem is a measure, extending the result proved by the same authors in the case of Lipschitz continuous coefficients.
Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order
Extension of an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients
Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series.
Extension of CR functions to «wedge type» domains
Let be a complex manifold, a generic submanifold of , the real underlying manifold to . Let be an open subset of with analytic, a complexification of . We first recall the notion of -tuboid of and of and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for to the extendability of functions on to -tuboids of . Next, if has complex dimension 2, we give results on extension...