Vanishing of solutions of diffusion equation with convection and absorption
We study the vanishing of solutions of the Cauchy problem for the equation $$ u_t = sum_{i,j=1}^N a_{ij}(u^m)_{x_ix_j} + sum_{i=1}^N b_i(u^n)_{x_i} - cu^p, quad (x,t)in S = mathbb{R}^Nimes(0,+infty). $$ Obtained results depend on relations of parameters of the problem and growth of initial data at i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2005-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/113/abstr.html |