General method of integration of partial differential equations of the n-th order
General solutions of certain nonlinear partial differential equations
Generalized analytic functions with applications to singular ordinary and partial differential equations [Book]
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation
This paper addresses the derivation of new second-kind Fredholm combined field integral equations for the Krylov iterative solution of tridimensional acoustic scattering problems by a smooth closed surface. These integral equations need the introduction of suitable tangential square-root operators to regularize the formulations. Existence and uniqueness occur for these formulations. They can be interpreted as generalizations of the well-known Brakhage-Werner [A. Brakhage and P. Werner, Arch....
Generalized ellipsoidal and sphero-conal harmonics.
Generalized Jacobi elliptic function solution to a class of nonlinear Schrödinger-type equations.
Geometric optics with critical vanishing viscosity for one-dimensional semilinear initial value problems.
Gevrey problem for parabolic equations with changing time direction.
Gewöhnliche Differentialgleichungen für Erzeugende gewisser Bergman-Operatoren.
Global self-similar solutions of a class of nonlinear Schrödinger equations.
Global solution to the Cauchy problem of nonlinear thermodiffusion in a solid body
We consider the initial-value problem for a nonlinear hyperbolic-parabolic system of three coupled partial differential equations of second order describing the process of thermodiffusion in a solid body (in one-dimensional space). We prove global (in time) existence and uniqueness of the solution to the initial-value problem for this nonlinear system. The global existence is proved using time decay estimates for the solution of the associated linearized problem. Next, we prove an energy estimate...
Green function for the heat equation with oblique boundary conditions in an angle
Group method analysis of two-dimensional plate in heat flux.