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littlelittlelittle
  • Member for 10 years, 6 months
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Theorems that tell if an explicit analytical solution is possible for nonlinear PDEs
If we know that an equation has explicit solutions (for example there is a special explicit solution by observation), how could we find the general form of all explicit solutions?
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Theorems that tell if an explicit analytical solution is possible for nonlinear PDEs
In general is there a way to find the explicit solution using Darboux's method?
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A question on anti-self-dual Weyl curvature of Kaehler surfaces
Thank you very much for your answer. If we further restrict to Fano Kaehler-Einstein metric, may it be true? (They have been classified by Gang Tian, but I couldn't find any paper describing $W^-$ of these manifolds)
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Positive solutions to Yamabe problem?
I use $e^{2h}$ as the conformal factor, and after some change of variable we get an equation of the form that I wrote.
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Positive solutions to Yamabe problem?
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Log of heat kernel for positive time
there is a recent paper on the long time behavior of heat kernel, see msc.tsinghua.edu.cn/~gxu/Public/large%20time%20behavior.pdf
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