Local existence for quasilinear parabolic systems under nonlinear boundary conditions
From MaRDI portal
Publication:1109226
DOI10.1007/BF01773924zbMath0655.35049MaRDI QIDQ1109226
Mariano Giaquinta, Giuseppe Modica
Publication date: 1987
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) A priori estimates in context of PDEs (35B45)
Related Items
Solutions for quasilinear nonsmooth evolution systems in \(L^p\), On quasilinear parabolic systems, The boundary regularity of non-linear parabolic systems I, Parabolic evolution equations and nonlinear boundary conditions, Some properties of strong solutions to nonlinear heat and moisture transport in multi-layer porous structures, Analytical detection of stationary turing pattern in a predator-prey system with generalist predator, On degenerate coupled transport processes in porous media with memory phenomena, Hyperbolic–parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion, Regularity results for solutions of a class of parabolic systems with measure data, Existence of regular solutions to a class of parabolic systems in two space dimensions with critical growth behaviour, Hölder regularity in variational parabolic non-homogeneous equations, Weak solutions of coupled dual porosity flows in fractured rock mass and structured porous media, Local existence for parabolic problems with fully nonlinear boundary condition; an \(L_ p\)-approach, Global solutions to a class of strongly coupled parabolic systems, Unnamed Item, On doubly nonlinear elliptic-parabolic systems arising in coupled transport phenomena in unsaturated porous media, Bounded solutions for reaction-diffusion systems with nonlinear boundary conditions, Problems in mathematical physics and function theory. Transl. from the Russian, Global solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems with variational structure in the case of two spatial variables, Numerical solution of the Kiessl model., On a partial regularity up to the boundary of weak solutions to quasilinear parabolic systems with quadratic growth, A maximal regularity result with applications to parabolic problems with nonhomogeneous boundary conditions
Cites Work
- Unnamed Item
- Quasilinear parabolic systems under nonlinear boundary conditions
- On the partial regularity of weak solutions on nonlinear parabolic systems
- On the regularity of the minima of variational integrals
- Partial regularity for the solutions to nonlinear parabolic systems
- Equazioni paraboliche del secondo ordine e spazi \({\mathfrak L}^{2,\theta} (\Omega,\delta)\)
- Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)