Construct · 1 fields · 1 citations

Lewy's example: a standalone construct

One name. One construct. A landmark on the map.

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Lewy'sexample1 CONSTRUCTLewy's exampleLEWY · PARTIAL DIFFERENTIAL

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Partial differential equations

a linear partial differential equation with smooth complex coefficients that has no solution for most smooth right-hand sides, showing local solvability can fail.

In partial differential equations, Lewy's example refers to a linear partial differential equation with smooth complex coefficients that has no solution for most smooth right-hand sides, showing local solvability can fail. This meaning comes from Lewy (1957) in The Annals of Mathematics.[1]

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Nearby constructs

complex4 fields · 4 citationsjingle · one word, four constructssolution3 fields · 4 citationsjingle · one word, three constructs

References

  1. Lewy, H. (1957). An Example of a Smooth Linear Partial Differential Equation Without Solution. The Annals of Mathematics, 66(1), 155. https://doi.org/10.2307/1970121

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