Regularity of solutions to doubly nonlinear diffusion equations
We prove under weak assumptions that solutions $u$ of doubly nonlinear reaction-diffusion equations $$ dot{u}=Delta_p u^{m-1} + f(u) $$ to initial values $u(0) in L^a$ are instantly regularized to functions $u(t) in L^infty$ (ultracontractivity). Our proof is based on a priori estimates of $|...
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| Format: | Article |
| Language: | English |
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Texas State University
2009-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/conf-proc/17/m3/abstr.html |