On local solvability of pseudo-differential equations

Menikoff, A.

doi:10.1090/S0002-9939-1974-0338844-1

On local solvability of pseudo-differential equations
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Proc. Amer. Math. Soc. 43 (1974), 149-154 Request permission

Abstract:

A sufficient condition for the local solvability of the equation ${u_t} - A(x,t,{D_x})u = f(x,t)$ is proved, where $A$ is a first order pseudo-differential operator with real symbol. This is a special case of the local solvability conjecture of Nirenberg and Treves.

References

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