Cauchy Problems for Evolutionary Pseudodifferential Equations overp-Adic Field
Copyright policy )Cauchy Problems for Evolutionary Pseudodifferential Equations overp-Adic Field
We study a class of evolutionary pseudodifferential equations of the second order int, (∂2u(t,x)/∂t2+2a2Tα/2(∂u(t,x)/∂t)+b2Tαu(t,x)+c2u(t,x)=q(t,x)), wheret∈(0,z]andTαis pseudodifferential operator inx∈Qp, which defined by Weiyi Su in 1992. We obtained the exact solutions to the equations which belong to mixed classes of real andp-adic functions.
- Nanjing University China (People's Republic of)
- Nanjing University China (People's Republic of)
- Nanjing Audit University China (People's Republic of)
- Nanjing University of Finance and Economics China (People's Republic of)
Initial value problems for PDEs with pseudodifferential operators, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, QA1-939, Non-Archimedean function theory, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Mathematics, Solutions to PDEs in closed form
Initial value problems for PDEs with pseudodifferential operators, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, QA1-939, Non-Archimedean function theory, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Mathematics, Solutions to PDEs in closed form
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