Solutions to semilinear parabolic equations driven by mixed local-nonlocal operators blow up in finite time for sufficiently large initial data, for reaction terms like u^p with any p>1.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
fields
math.AP 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
For the mixed local-nonlocal problem with concave-critical nonlinearity, a threshold Lambda_epsilon exists such that positive solutions occur for lambda below it, with at least two solutions for small lambda when epsilon is small enough.
citing papers explorer
-
Blow-up of solutions to semilinear parabolic equations driven by mixed local-nonlocal operators with large initial data
Solutions to semilinear parabolic equations driven by mixed local-nonlocal operators blow up in finite time for sufficiently large initial data, for reaction terms like u^p with any p>1.
-
Quasilinear problems with mixed local-nonlocal operator and concave-critical nonlinearities: Multiplicity of positive solutions
For the mixed local-nonlocal problem with concave-critical nonlinearity, a threshold Lambda_epsilon exists such that positive solutions occur for lambda below it, with at least two solutions for small lambda when epsilon is small enough.