Sentence examples for mild solutions of from inspiring English sources

The global well-posedness of vortex filaments with small circulation follows from the theory of mild solutions of the 3d Navier-Stokes equations at critical regularity.

We present the definition of mild solutions of (1.1).

Assume that X, Y are two mild solutions of (3.1).

The fixed points of the multioperator T are mild solutions of problem (1.1).

In Section 3, we study the existence and uniqueness of mild solutions of Eq. (1).

In Section 3, we give sufficient conditions on the existence of mild solutions of problem (1).

This section discusses the uniqueness of mild solutions of (1.1)–(1.1).

That is, all mild solutions of (1.1 - 1.2 1.1 - 1.2arey attractive.

where It is obvious that fixed points of are mild solutions of problem (5.1).

end{aligned} Clearly fixed points of the operator T are random mild solutions of problem (1.1).

In view of Lemma 2.2, we determine the mild solutions of the system (2.1 - 2.2 2.1 - 2.2