Smoothing for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions
Copyright policy )Smoothing for Nonlinear Parabolic Equations with Nonlinear Boundary Conditions
The authors are concerned with smoothing effects for a class of nonlinear partial differential equations of parabolic type. They extend some known properties of the solution in the linear case, to their nonlinear case. Such properties are: \(u_t(\cdot, t)\to 0\) as \(t\to \infty\) in the \(L^2\)-norm, and \(u(\cdot,t)\) is bounded on \((0,\infty)\) even if the initial condition \(u(0,x) =f(x)\) is merely integrable.
- University of Memphis United States
- Louisiana State University United States
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, Asymptotic behavior of solutions to PDEs, Applied Mathematics, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Analysis
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, Asymptotic behavior of solutions to PDEs, Applied Mathematics, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Analysis
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