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Partial differential equations of Sobolev-Galpern type Público Deposited

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  • A mixed initial and boundary value problem is considered for a partial differential equation of the form Muₜ(x, t)+Lu(x, t)=0, where M and L are elliptic differential operators of orders 2 m and 2l, respectively, with m ≤ l. The existence and uniqueness of a strong solution of this equation in Hˡ₀(G) is proved by semigroup methods.
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  • Showalter, R. (1969). Partial differential equations of Sobolev-Galpern type. Pacific Journal of Mathematics, 31(3), 787-793.
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  • 31
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  • 3
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