Global existence and local continuity of solutions for semilinear parabolic equations

DOI10.1080/03605309708821310zbMath0883.35061OpenAlexW2156987709MaRDI QIDQ4365389

Qi S. Zhang

Publication date: 23 March 1998

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821310

zbMATH Keywords

parabolic Morrey-Campanato spaces

Mathematics Subject Classification ID

Related Items (17)

Existence and nonexistence of global solutions of higher-order parabolic problems with slow decay initial data ⋮ Global existence and asymptotic behavior of solutions to a semilinear parabolic equation on Carnot groups ⋮ Singular solutions for semi-linear parabolic equations on nonsmooth domains ⋮ Asymptotic behavior of positive solutions for heat equation with nonlinear term ⋮ Global solutions for superlinear parabolic equations involving the biharmonic operator for initial data with optimal slow decay ⋮ Global solutions for a nonlinear absorption parabolic problem in exterior domains ⋮ Existence and asymptotic behavior of positive continuous solutions for some nonlinear parabolic systems ⋮ Second critical exponent for a higher-order semilinear parabolic system ⋮ Heat kernel bounds and desingularizing weights. ⋮ Nonlinear parabolic problems on manifolds, and a nonexistence result for the noncompact Yamabe problem ⋮ Global existence and continuity of weak solutions for semilinear parabolic equations with a singular lower order term ⋮ Global asymptotic behavior of solutions of a semilinear parabolic equation ⋮ Global existence and asymptotic behavior of solutions for nonlinear parabolic equations on unbounded domains ⋮ Existence of positive solutions for some nonlinear parabolic systems in exteriors domains ⋮ On a parabolic problem with nonlinear term in a half space and global behavior of solutions ⋮ Global existence and continuity of weak solutions for semilinear parabolic equations with a singular lower order term ⋮ On a semilinear parabolic equation

Cites Work

• Unnamed Item
• On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures
• On the existence of positive solutions of nonlinear elliptic equations -- a probabilistic potential theory approach
• Harnack's inequality for parabolic operators with singular low order terms
• Subcriticality, positivity, and gaugeability of the Schrödinger operator
• On a parabolic equation with a singular lower order term

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