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Radial type solutions for a class of third order equations and their iterates. (English) Zbl 0959.35129

Summary: We obtain solutions of radial type for a class of linear partial differential equations with singular coefficients and of third order. We also obtain a similar type of solutions for the iterated forms of the same equations. Here the essential operators include the Laplacian.

MSC:

35M20 PDE of composite type (MSC2000)
35A08 Fundamental solutions to PDEs
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References:

[1] ALTIN A.: Solution of type \(r^m\) for a class of singular equations. Internat. J. Math. Math. Sci. 5 (1982), 613-619. · Zbl 0492.35003 · doi:10.1155/S0161171282000593
[2] ALTIN A.: Some expansion formulas for a class of singular partial differential equations. Proc. Amer. Math. Soc. 85 (1982), 42-46. · Zbl 0486.35018 · doi:10.2307/2043278
[3] SNEDDON I. N.: Elements of Partial Differential Equations. McGraw Hill, New York, 1957. · Zbl 0077.09201
[4] WEINSTEIN A.: On a singular differential operator. Ann. Mat. Pura Appl. (4) 49 (1960), 359-365. · Zbl 0094.06101 · doi:10.1007/BF02414059
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