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Maybe someone here can help me and point to a book or article where I can find sufficient conditions on the right hand side that guarantee the existence of a C^2 solution.

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- #1

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Maybe someone here can help me and point to a book or article where I can find sufficient conditions on the right hand side that guarantee the existence of a C^2 solution.

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HallsofIvy

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A google search on "Dirichlet-Neumann conditions" turn up this:

http://www.math.osu.edu/~gerlach.1/math/BVtypset/node142.html [Broken]

http://www.math.osu.edu/~gerlach.1/math/BVtypset/node142.html [Broken]

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Thanks. But this only mentions the definition of these boundary conditions. It doesn't give existence conditions for it (but for the Cauchy problem).A google search on "Dirichlet-Neumann conditions" turn up this:

http://www.math.osu.edu/~gerlach.1/math/BVtypset/node142.html [Broken]

I did an extended Google search before I posed the question here, and found nothing useful.

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Thanks. I need to get the book from the library.

- #6

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It is online at

http://sharif.edu/~asghari/Handbook...s for engineers and scientists - Polyanin.pdf

Section 7.2 is about the Poisson equation, but it concentrates on specific solutions for nice domains. No existence results.

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