Second-Order Equations With Nonnegative Characteristic Form (eBook, PDF)
O. Oleinik
eBook, PDF

Second-Order Equations With Nonnegative Characteristic Form (eBook, PDF)

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Second order equations with nonnegative characteristic form constitute a new branch of the theory of partial differential equations, having arisen within the last 20 years, and having undergone a particularly intensive development in recent years. An equation of the form (1) is termed an equation of second order with nonnegative characteristic form on a set G, kj if at each point x belonging to G we have a (xHk~j ~ 0 for any vector ~ = (~l' ... '~m)' In equation (1) it is assumed that repeated indices are summed from 1 to m, and x = (x l' ... , x ). Such equations are sometimes also called deg...

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