van den Berg, M.; Bucur, D. On the torsion function with Robin or Dirichlet boundary conditions. (English) Zbl 1292.35141 J. Funct. Anal. 266, No. 3, 1647-1666 (2014). MSC: 35J92 PDFBibTeX XMLCite \textit{M. van den Berg} and \textit{D. Bucur}, J. Funct. Anal. 266, No. 3, 1647--1666 (2014; Zbl 1292.35141) Full Text: DOI arXiv
van den Berg, M.; Gilkey, Peter; Kirsten, K. Growth of heat trace and heat content asymptotic coefficients. (English) Zbl 1238.58017 J. Funct. Anal. 261, No. 8, 2293-2322 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 PDFBibTeX XMLCite \textit{M. van den Berg} et al., J. Funct. Anal. 261, No. 8, 2293--2322 (2011; Zbl 1238.58017) Full Text: DOI arXiv
van den Berg, M.; Gilkey, P.; Seeley, R. Heat content asymptotics with singular initial temperature distributions. (English) Zbl 1143.58013 J. Funct. Anal. 254, No. 12, 3093-3122 (2008). Reviewer: Dian K. Palagachev (Bari) MSC: 58J32 PDFBibTeX XMLCite \textit{M. van den Berg} et al., J. Funct. Anal. 254, No. 12, 3093--3122 (2008; Zbl 1143.58013) Full Text: DOI
van den Berg, M. Heat flow and Hardy inequality in complete Riemannian manifolds with singular initial conditions. (English) Zbl 1131.58016 J. Funct. Anal. 250, No. 1, 114-131 (2007). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 58J35 PDFBibTeX XMLCite \textit{M. van den Berg}, J. Funct. Anal. 250, No. 1, 114--131 (2007; Zbl 1131.58016) Full Text: DOI
van den Berg, M. Heat content and Hardy inequality for complete Riemannian manifolds. (English) Zbl 1157.58307 J. Funct. Anal. 233, No. 2, 478-493 (2006). MSC: 58J35 PDFBibTeX XMLCite \textit{M. van den Berg}, J. Funct. Anal. 233, No. 2, 478--493 (2006; Zbl 1157.58307) Full Text: DOI
van den Berg, M. On the expected volume of intersection of independent Wiener sausages and the asymptotic behaviour of some related integrals. (English) Zbl 1077.60056 J. Funct. Anal. 222, No. 1, 114-128 (2005). Reviewer: Yoichi Oshima (Kumamoto) MSC: 60J45 60J65 35K05 PDFBibTeX XMLCite \textit{M. van den Berg}, J. Funct. Anal. 222, No. 1, 114--128 (2005; Zbl 1077.60056) Full Text: DOI
van den Berg, M. Asymptotics of the heat exchange. (English) Zbl 1036.35063 J. Funct. Anal. 206, No. 2, 379-390 (2004). Reviewer: Jan Seidler (Praha) MSC: 35K05 35B40 35C20 60J65 PDFBibTeX XMLCite \textit{M. van den Berg}, J. Funct. Anal. 206, No. 2, 379--390 (2004; Zbl 1036.35063) Full Text: DOI
van den Berg, M. Subexponential behaviour of the Dirichlet heat kernel. (English) Zbl 1031.35048 J. Funct. Anal. 198, No. 1, 28-42 (2003). Reviewer: A.Cichocka (Katowice) MSC: 35K05 60J65 35B40 PDFBibTeX XMLCite \textit{M. van den Berg}, J. Funct. Anal. 198, No. 1, 28--42 (2003; Zbl 1031.35048) Full Text: DOI
van den Berg, M. Area versus capacity and independence in the crushed ice model. (English) Zbl 1010.31004 J. Funct. Anal. 189, No. 1, 242-266 (2002). Reviewer: Wolfhard Hansen (Bielefeld) MSC: 31C15 60J65 35K05 PDFBibTeX XMLCite \textit{M. van den Berg}, J. Funct. Anal. 189, No. 1, 242--266 (2002; Zbl 1010.31004) Full Text: DOI
van den Berg, M.; Gilkey, Peter B. Heat content asymptotics of a Riemannian manifold with boundary. (English) Zbl 0809.53047 J. Funct. Anal. 120, No. 1, 48-71 (1994). Reviewer: M.Puta (Timişoara) MSC: 53C20 58J35 58J50 PDFBibTeX XMLCite \textit{M. van den Berg} and \textit{P. B. Gilkey}, J. Funct. Anal. 120, No. 1, 48--71 (1994; Zbl 0809.53047) Full Text: DOI
Van den Berg, M. On the spectral counting function for the Dirichlet Laplacian. (English) Zbl 0784.35074 J. Funct. Anal. 107, No. 2, 352-361 (1992). MSC: 35P20 35J05 PDFBibTeX XMLCite \textit{M. Van den Berg}, J. Funct. Anal. 107, No. 2, 352--361 (1992; Zbl 0784.35074) Full Text: DOI
van den Berg, M. Dirichlet-Neumann bracketing for horn-shaped regions. (English) Zbl 0763.35071 J. Funct. Anal. 104, No. 1, 110-120 (1992). MSC: 35P15 35J05 35J25 PDFBibTeX XMLCite \textit{M. van den Berg}, J. Funct. Anal. 104, No. 1, 110--120 (1992; Zbl 0763.35071) Full Text: DOI
Van den Berg, M. Gaussian bounds for the Dirichlet heat kernel. (English) Zbl 0705.35052 J. Funct. Anal. 88, No. 2, 267-278 (1990). Reviewer: C.Constanda MSC: 35K05 47D06 PDFBibTeX XMLCite \textit{M. Van den Berg}, J. Funct. Anal. 88, No. 2, 267--278 (1990; Zbl 0705.35052) Full Text: DOI
van den Berg, M. On the asymptotics of the heat equation and bounds on traces associated with the Dirichlet Laplacian. (English) Zbl 0632.35016 J. Funct. Anal. 71, 279-293 (1987). MSC: 35J25 35K05 47F05 PDFBibTeX XMLCite \textit{M. van den Berg}, J. Funct. Anal. 71, 279--293 (1987; Zbl 0632.35016) Full Text: DOI
van den Berg, M. On the spectrum of the Dirichlet Laplacian for Horn-shaped regions in \(R^ n\) with infinite volume. (English) Zbl 0559.35057 J. Funct. Anal. 58, 150-156 (1984). Reviewer: W.D.Evans MSC: 35P20 35J25 PDFBibTeX XMLCite \textit{M. van den Berg}, J. Funct. Anal. 58, 150--156 (1984; Zbl 0559.35057) Full Text: DOI