Green function and Fourier transform for o-plus operators
In this article, we study the o-plus operator defined by $$ oplus^k =Big(Big(sum^{p}_{i=1}frac{partial^2}{partial x^2_i}Big)^{4}-Big(sum^{p+q}_{j=p+1}frac{partial^2}{partial x^2_j}Big)^{4}Big)^k , $$ where $x=(x_1,x_2,dots,x_n)in mathbb{R}^n$, $p+q=n$, and $k$ is a nonnegative integer. Firstl...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/48/abstr.html |