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math.AP2020
An optimal boundedness result for weak solutions of double phase quasilinear parabolic equations
Karthik Adimurthi, Vivek Tewary
We obtain local boundedness of weak solutions of double phase quasilinear parabolic equations of the form \[u_t-\text{div} \left(|\nabla u|^{p-2}\nabla u+a(x,t)|\nabla u|^{q-2}\nab…
math.AP2020
Unified approach to regularity for quasilinear parabolic equations
Karthik Adimurthi, Agnid Banerjee
In this paper, we are interested in obtaining a unified approach for estimates for weak solutions of quasilinear parabolic equations, the prototype example being \[ u_t -…
math.AP2020
Hölder regularity for quasilinear parabolic equations with anisotropic -Laplace nonlinearity -- Announcement
Karthik Adimurthi
We announce some new results for proving Hölder continuity of weak solutions to quasilinear parabolic equations whose prototype takes the form $$u_t - div (|\nabla u|^{p-2}\nabla u…