The phrase "a fundamental solution for" is correct and usable in written English.
It can be used when discussing a basic or essential answer to a problem or question in various contexts, such as mathematics, science, or philosophy.
Example: "The researchers proposed a fundamental solution for the issue of climate change, emphasizing the need for sustainable practices."
Alternatives: "a basic answer to" or "an essential resolution for".
"We should find a fundamental solution for this.
The move intensified the struggle for a fundamental solution for the long-troubled Roosevelt system, whose fiscal and managerial problems are being debated by the Republican-controlled State Senate anDemocratic-controlleded Assembly.
The boundary element method (BEM) is used to obtain the static displacement and traction fields, with a fundamental solution for 3D general anisotropic materials based on double Fourier's series.
Similarly, we give a fundamental solution for (Delta_{mathbf{H}}) below.
end{aligned} (1) On the Heisenberg group, a fundamental solution for the sub Laplacian was studied in [13].
Although the low-pass filter reduced the discontinuous force feedback, this is not a fundamental solution for displaying realistic reaction forces.
A fundamental solution is derived for time harmonic elastic waves originating from a point source and propagating in a restricted class of three-dimensional, unbounded heterogeneous media which have a Poisson ratio of 0·25 and elastic moduli that vary quadratically with respect to the depth co-ordinate.
In these studies, the principle of correspondence was applied to the determination of a fundamental solution, which was utilized for the fracture modelling of polymers.
A new fundamental solution for piezoelectric materials is proposed and the transient solution for the cracked body is determined by superposition of the fundamental solution in the Laplace transform domain.
A new fundamental solution for the piezoelectric material is proposed and the transient response of the propagating crack is determined by superposition of the fundamental solution in the Laplace transform domain.
The study of the Green's function on the Heisenberg group became interesting after Folland [5] found a smooth fundamental solution for this operator.
