Gasdynamic regularity: some classifying geometrical remarks.
Gas-solid reaction with porosity change.
Gauss' hypergeometric series and heat production in a cylinder
Gaussian Bounds for the Fundamental Solutions ...
Gaussian Decay of the Magnetic Eigenfunctions.
Gaussian estimates for fundamental solutions to certain parabolic systems.
Auscher proved Gaussian upper bound estimates for the fundamental solutions to parabolic equations with complex coefficients in the case when coefficients are time-independent and a small perturbation of real coefficients. We prove the equivalence between the local boundedness property of solutions to a parabolic system and a Gaussian upper bound for its fundamental matrix. As a consequence, we extend Auscher's result to the time dependent case.
Gaussian estimates for Schrödinger perturbations
We propose a new general method of estimating Schrödinger perturbations of transition densities using an auxiliary transition density as a majorant of the perturbation series. We present applications to Gaussian bounds by proving an optimal inequality involving four Gaussian kernels, which we call the 4G Theorem. The applications come with honest control of constants in estimates of Schrödinger perturbations of Gaussian-type heat kernels and also allow for specific non-Kato perturbations.
Gaussian lower bounds for random walks from elliptic regularity
Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation
Inspired by the work of Zhidkov on the KdV equation, we perform a construction of weighted Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. The resulting measures are supported by Sobolev spaces of increasing regularity. We also prove a property on the support of these measures leading to the conjecture that they are indeed invariant by the flow of the Benjamin-Ono equation.
G-convergence of monotone operators
Gehring theory for time-discrete hyperbolic differential equations
This paper is concerned with extending Gehring theory to be applicable to Rothe's approximate solutions to hyperbolic differential equations.
General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations
New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.
General finite difference approximation to the Cauchy problem for nonlinear parabolic differential-functional equations
General highly accurate algebraic coarsening.
General method of integration of partial differential equations of the n-th order
General mixed problems for the KdV equations on bounded intervals.
General solutions of certain nonlinear partial differential equations
General time schedule
Generalization Of An Inequality Of G. Pólya Concerning The Eigenfrequences Of Vibrating Bodies
Generalizations of Melin's inequality to systems
We discuss a recent necessary and sufficient condition for Melin's inequality for a class of systems of pseudodifferential operators.