Critical Exponents of Quasilinear Parabolic Equations
Copyright policy )Critical Exponents of Quasilinear Parabolic Equations
The critical exponent for the global existence of positive solutions of the equation \[ u_t = \text{div}(|\nabla u|^{m-1}\nabla u)+t^s|x|^\sigma u^p \] in \(\mathbb R^n\) is found for \(s\geq 0\), \((n-1)/(n+1)1\) and \(\sigma >n(1-m)-1-m-2s.\)
- Hong Kong University of Science and Technology Hong Kong
- Hong Kong University of Science and Technology China (People's Republic of)
- Hong Kong University of Science and Technology Hong Kong
- HONG KONG POLYTECHNIC UNIVERSITY China (People's Republic of)
- Southeast University China (People's Republic of)
global existence, Quasilinear parabolic equations, positive solutions, Applied Mathematics, quasilinear parabolic equations, Degenerate parabolic equations, Critical exponents in context of PDEs, Blow-up in context of PDEs, Critical exponents, Nonlinear parabolic equations, critical exponents, blow-up, Analysis
global existence, Quasilinear parabolic equations, positive solutions, Applied Mathematics, quasilinear parabolic equations, Degenerate parabolic equations, Critical exponents in context of PDEs, Blow-up in context of PDEs, Critical exponents, Nonlinear parabolic equations, critical exponents, blow-up, Analysis
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