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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We propose the infinity wave equation which can be derived from the exponential wave equation through the limit $p \to \infty$. The solution of infinity Laplacian equation can be considered as a static solution of the infinity wave equation. We present basic observations and find some special solutions.
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참고문헌 (22)
참고문헌 신청
Scott N. Armstrong / 2012 / A finite difference approach to the infinity Laplace equation and tug-of-war games / Transactions of the American Mathematical Society 364(2):595~636
Gunnar Aronsson / 1967 / Extension of functions satisfying lipschitz conditions / Arkiv för Matematik 6(6):551~561
Gunnar Aronsson / 1968 / On the partial differential equation ux 2uxx +2uxuyuxy +uy 2uyy = 0 / Arkiv för Matematik 7(5):395~425
Gunnar Aronsson / 1984 / On certain singular solutions of the partial differential equation u x 2 uxx+2uxuyuxy+u y 2 uyy=0 / Manuscripta Mathematica 47(1-3):133~151
Gunnar Aronsson / 2004 / A tour of the theory of absolutely minimizing functions / Bulletin of the American Mathematical Society 41(04):439~506
Gunnar Aronsson / 1967 / Extension of functions satisfying lipschitz conditions / Arkiv för Matematik 6(6):551~561
Gunnar Aronsson / 1968 / On the partial differential equation ux 2uxx +2uxuyuxy +uy 2uyy = 0 / Arkiv för Matematik 7(5):395~425
Gunnar Aronsson / 1984 / On certain singular solutions of the partial differential equation u x 2 uxx+2uxuyuxy+u y 2 uyy=0 / Manuscripta Mathematica 47(1-3):133~151
Gunnar Aronsson / 2004 / A tour of the theory of absolutely minimizing functions / Bulletin of the American Mathematical Society 41(04):439~506
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