Sentence examples for be the fundamental solution from inspiring English sources

Let S3 be the fundamental solution to the 3-dimensional wave equation.

Let be the fundamental solution of (4.1).

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

Let (mathcal{B}(t)) be the fundamental solution matrix of ((Lambda (t))).

Let be a solution of (3.1), and on for any be the fundamental solution of (4.14).

Let be the fundamental solution of (1.1) (or (1.2)), that is, the sequence in satisfying (2.11).

Let,, be the fundamental solutions of (2.1), that is, are solutions satisfying the initial values (2.2).

Let and be the fundamental solutions of (3.1) and (4.3), respectively.

Lemma 2.4 Let G ( x, t ) and H ( x, t ) be the fundamental solutions of (2.1), which are given in (2.9) and (2.10), respectively.

Lemma 3.3 Let G ( x, t ) and H ( x, t ) be the fundamental solutions of the linear equation of (1.1), which are given in (2.8) and (2.9), respectively.

Lemma 2.2 Let G ˆ ( ξ, t ) and H ˆ ( ξ, t ) be the fundamental solutions to (2.1) in the Fourier space, which are given in (2.6) and (2.7), respectively.