Parabolic Q-minima and minimal solutions to variational flow
From MaRDI portal
Publication:1121449
DOI10.1007/BF01171265zbMath0674.35042MaRDI QIDQ1121449
Publication date: 1987
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155240
regularityexistenceconvexityHölder continuitypartial Hölder continuityminimal solutions\(L^ p\)-summabilityparabolic Q-minimum
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Variational methods applied to PDEs (35A15)
Related Items
A necessary and sufficient condition for the continuity of local minima of parabolic variational integrals with linear growth, Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces, Local boundedness of variational solutions to evolutionary problems with non-standard growth, Higher integrability for vector-valued parabolic quasi-minimizers on metric measure spaces, Boundary regularity for parabolic quasiminima, Existence of Variational Solutions in Noncylindrical Domains, Hölder regularity for parabolic De Giorgi classes in metric measure spaces, Harnack inequality for parabolic quasi minimizers on metric spaces, Finite speed propagation for parabolic quasiminimizers, A Harnack's inequality for mixed type evolution equations, Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient, On the Harnack inequality for parabolic minimizers in metric measure spaces, Existence of evolutionary variational solutions via the calculus of variations, Stability for parabolic quasiminimizers, Harnack's inequality for quasiminimizers with nonstandard growth conditions, Local higher integrability for parabolic quasiminimizers in metric spaces, Global higher integrability for parabolic quasiminimizers in nonsmooth domains, Nonlocal diffusion equations, Local Calderón-Zygmund estimates for parabolic minimizers, The total variation flow with time dependent boundary values, Parabolic equations and the bounded slope condition, Global gradient estimates for non-quadratic vector-valued parabolic quasi-minimizers, Parabolic De Giorgi classes of order \(p\) and the Harnack inequality, Hölder continuity of parabolic quasi-minimizers, Existence of parabolic minimizers on metric measure spaces, Integral Convexity and Parabolic Systems, A variational approach to parabolic equations under general and \(p,q\)-growth conditions, On the Cauchy problem for the equation \(u'-\Delta u=u| u| ^{\gamma -1}\) in the supercritical case, A relation between \(\Gamma\)-convergence of functionals and their associated gradient flows, On the definition of solution to the total variation flow, Parabolic comparison principle and quasiminimizers in metric measure spaces, A Time Dependent Variational Approach to Image Restoration, Hölder continuity of parabolic quasi-minimizers on metric measure spaces, Global higher integrability for parabolic quasiminimizers in metric measure spaces, Existence of variational solutions to nonlocal evolution equations via convex minimization
Cites Work
- Quasi-minima
- Equazioni paraboliche del secondo ordine e spazi \({\mathfrak L}^{2,\theta} (\Omega,\delta)\)
- Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta
- Über Flächen konstanter mittlerer Krümmung
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item