說明 
1 online resource (VIII, 178 pages) 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
系列 
Progress in Mathematical Physics ; 28 

Progress in mathematical physics ; 28

附註 
Introduction. Part I: Boundary Value Problems for Regular, Generalized, Regular and Pluriregular Elliptic Equations. Two Dimensional Cases; MultiDimensional Cases. Part II: Initial Value Problems for Regular, Pluriregular Hyperbolic and Parabolic Equations  Hyperbolic and Plurihyperbolic Equations in Clifford Analysis; Parabolic and Pluriparabolic Equations in Clifford Analysis; Epilogue  References  Index 

This monograph is devoted to new types of higher order PDEs in the framework of Clifford analysis. While elliptic and hyperbolic equations have been studied in the Clifford analysis setting in book and journal literature, parabolic equations in this framework have been largely ignored and are the primary focus of this work. Thus, new types of equations are examined: elliptichyperbolic, ellipticparabolic, hyperbolicparabolic and elliptichyperbolicparabolic. These equations are related to polyharmonic, polywave, polyheat, harmonicwave, harmonicheat, waveheat and harmonicwaveheat equations for which various boundary and initial value problems are solved explicitly in quadratures. The solutions to these new equations in the Clifford setting have some remarkable applications, for example, to the mechanics of deformable bodies, electromagnetic fields, and quantum mechanics 
主題 
Mathematics


Differential equations, Partial


Global differential geometry


Differential equations, Partial. fast (OCoLC)fst00893484


Global differential geometry. fast (OCoLC)fst00943477


Mathematics. fast (OCoLC)fst01012163


Electronic books

