Abstract
We consider the Cauchy problem of the critical nonlocal heat equation
where
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12471114
Funding source: Natural Science Foundation of Zhejiang Province
Award Identifier / Grant number: LZ22A010001
Funding statement: Minbo Yang was partially supported by National Natural Science Foundation of China (12471114) and Natural Science Foundation of Zhejiang Province (LZ22A010001).
References
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Articles in the same Issue
- Frontmatter
- Weil representations of twisted loop groups of type A n (2)
- Local Birkhoff decompositions for loop groups and a finiteness result
- Uniform boundedness of oscillatory singular integrals with rational phases
- On the stabilizer of the graph of linear functions over finite fields
- Global solution and blow-up of critical heat equation with nonlocal interaction
- Locally compact groups with all dense subgroups separable
- On the Kawaguchi–Silverman conjecture for birational automorphisms of irregular varieties
- On isometry groups of gradient Ricci solitons
- Extensions of a theorem of P. Hall on indexes of maximal subgroups
- A trace formula for Hecke operators on Fuchsian groups
- Quasi-hereditary algebras with all standard modules being isomorphic to submodules of projective modules
- Computation of endo-fixed closures in free-abelian times free groups
- Non-vanishing of Maass form 𝐿-functions of cubic level at the central point
- Traces of partition Eisenstein series
- Gabor System based on the unitary dual of the Heisenberg group
- Zeros of linear combinations of Dirichlet 𝐿-functions on the critical line
- Paley inequality for the Weyl transform and its applications
Articles in the same Issue
- Frontmatter
- Weil representations of twisted loop groups of type A n (2)
- Local Birkhoff decompositions for loop groups and a finiteness result
- Uniform boundedness of oscillatory singular integrals with rational phases
- On the stabilizer of the graph of linear functions over finite fields
- Global solution and blow-up of critical heat equation with nonlocal interaction
- Locally compact groups with all dense subgroups separable
- On the Kawaguchi–Silverman conjecture for birational automorphisms of irregular varieties
- On isometry groups of gradient Ricci solitons
- Extensions of a theorem of P. Hall on indexes of maximal subgroups
- A trace formula for Hecke operators on Fuchsian groups
- Quasi-hereditary algebras with all standard modules being isomorphic to submodules of projective modules
- Computation of endo-fixed closures in free-abelian times free groups
- Non-vanishing of Maass form 𝐿-functions of cubic level at the central point
- Traces of partition Eisenstein series
- Gabor System based on the unitary dual of the Heisenberg group
- Zeros of linear combinations of Dirichlet 𝐿-functions on the critical line
- Paley inequality for the Weyl transform and its applications