By S. L. Sobolev
This e-book offers the speculation of services areas, referred to now as Sobolev areas, that are accepted within the thought of partial differential equations, mathematical physics, and diverse purposes. the writer additionally treats the variational approach to answer of boundary price difficulties for elliptic equations, together with people with boundary stipulations given on manifolds of other dimensions. moreover, the speculation of the Cauchy challenge for second-order hyperbolic equations with variable coefficients is studied. The publication is meant for researchers in arithmetic and mathematical physics and will be worthwhile to undergraduate and graduate scholars taking complicated classes in those components.
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