Nonlinear monotone boundary conditions for parabolic equations
Nonlinear monotone boundary conditions for parabolic equations
Consider the following problem: \[ (1)\quad u_ t+\sum^{n}_{i,j=0}(- 1)^ j(a_{ij}(x)u_{x_ i})_{x_ j}+A(x,u)=f(t,x),\quad t>0,\quad 00, \] \[ (3)\quad u(0,x)=u_ 0(x),\quad 0
- University of Trieste Italy
multivalued, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, maximal monotone, Asymptotic behavior of solutions to PDEs, asymptotic behaviour, Initial value problems for linear higher-order PDEs, General existence and uniqueness theorems (PDE), uniqueness, Existence, Monotone operators and generalizations, Higher-order parabolic equations
multivalued, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, maximal monotone, Asymptotic behavior of solutions to PDEs, asymptotic behaviour, Initial value problems for linear higher-order PDEs, General existence and uniqueness theorems (PDE), uniqueness, Existence, Monotone operators and generalizations, Higher-order parabolic equations
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