5 papers
Local boundedness for solutions to degenerate parabolic double phase problems
Bogi Kim, Jehan Oh
In this paper, we investigate the local boundedness of weak solutions to degenerate parabolic double phase equation of type $$ u_t-\textrm{div}(|Du|^{p-2}Du+a(x,t)|Du|^{q-2}Du)=0\q…
Interpolative Refinement of Gap Bound Conditions for Singular Parabolic Double Phase Problems
Bogi Kim, Jehan Oh
We consider inhomogeneous singular parabolic double phase equations of type $$ u_t-\operatorname{div}(|Du|^{p-2}Du + a(x,t)|Du|^{q-2}Du)=-\operatorname{div} (|F|^{p-2}F + a(x,t)|F|…
Bounded solutions and interpolative gap bounds for degenerate parabolic double phase problems
Bogi Kim, Jehan Oh
We establish gradient higher integrability results for weak solutions to degenerate parabolic equations of double phase type $$ u_t-\operatorname{div} \left(|Du|^{p-2}Du + a(x,t)|D…
Absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems
Bogi Kim, Youngchae Kim, Jehan Oh
We establish the absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems. Any finite-energy function in the natural parabolic class admits smooth approx…
Parabolic Lipschitz truncation for multi-phase problems: the degenerate case
Bogi Kim, Jehan Oh, Abhrojyoti Sen
This article is devoted to exploring the Lipschitz truncation method for parabolic multi-phase problems. The method is based on Whitney decomposition and covering lemmas with a del…