Sobolev-Galpern equations of order 𝑛+2 in 𝑅^{𝑚}×𝑅, 𝑚≥2

Rao, V. R. Gopala

doi:10.1090/S0002-9947-1975-0372446-1

Sobolev-Galpern equations of order $n+2$ in $R^{m}\times R$, $m\geq 2$
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Trans. Amer. Math. Soc. 210 (1975), 267-278 Request permission

Abstract:

Equations with mixed time and space derivatives play an important role in several branches of physics. Here we establish existence and uniqueness results for such equations. In addition, we also prove a regularity result which employs a regularity result for nonhomogeneous elliptic equations whose proof is also included.

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