Sentence examples for fundamental solution of the from inspiring English sources

This function is a fundamental solution of the Dirac operator.

The real part is the fundamental solution of the source singularity while the imaginary part denotes the fundamental solution of the screw dislocation.

Let (1.2). be the fundamental solution of the heat equation [21].

The Green's function is then defined as the fundamental solution of the system.

Thus, the fundamental solution of the screw dislocation is expressed by. (25).

be the fundamental solution of the heat equation in R n − m.

Then, the fundamental solution of the Navier's equations is systematically derived using the Galerkin vector method.

This formula is closely related to the fundamental solution of the wave equation in Rν+1.

We prove Gaussian-type bounds on the fundamental solution of the associated semigroup.

An exact closed-form fundamental solution of the transformed system is then derived.

The stability conditions will be formulated assuming that we know the Cauchy solution (fundamental solution) of the unperturbed system.